There are 54:6 or 9:1, 9 applicants for every 1 interview. There are 16:2 or 8:1, 8 interviews for every 1 programmer. 3 programmers are needed. 9 * 8 * 3 = 216

52 resumes : 6 interviews = 16 interviews : 2 good programmers $\frac{54}{6}$ = $\frac{16}{2}$ $\frac{9resumes}{interview}$ = $\frac{8interviews}{programmer}$ .

$3 programmers \times \frac{8interviews}{1programmer} \ \times \frac{9resumes}{1interview}$ cancel . cancel then the answer will be =216 resumes

A proporção de bons programadores entre os entrevistados é de 2/16. Então, para encontrarmos 2 bons programadores, precisamos de 16 entrevistas. Simplificando a fração, temos que a proporção é de 1/8. Isto é, se quisermos encontrar 1 bom programador, devemos realizar 8 entrevistas. Para termos 3 bons programadores, então, devemos ter 16+8=24 entrevistas. 6 entre 54 candidatos são entrevistados. 24 = 4 6. Temos a fração de entrevistados e currículos vistos igual a 6/54. Se quisermos ter 24 entrevistados, a fração ter o numerador e o denominador multiplicados por 4. Então: (4 * 6)/(54 * 4) Logo, 54 4 = 216 é o valor procurado.

16/6 = 8/3

8/3 x 54 = 144* for 2 good programmers

16->2 = 8->1

8/6 = 4/3

4/3 x 54 = 72* for 1 good programmer

144 + 72 = 216

In order to have 3 good programmers, Sam needs (16 interviews/2 good programmers)x3good programmers=24 interviews. In order to have 24 interviews, Bradan needs to collect (24 interviews/6 interviews)x54 resumes=216 resumes.

This problem is a bit complicate, here we are: 16x3/2=24 and 54*24/6=216. as solution Bradan needs 216 resumes to find 3 good programmers.

if Bradan out of 16 interviews he find 2 good programmers then he need 24 interviews to find 3 good programmers. if Sam know that out of every 54 resumes he find 6 candidates to interview then he need 216 resumes to find 16 interviews and 3 good programmers .

For 3 good programmers, there must be 24 interviews conducted. If out of 16 interviews there is 2 good programmers, then 8 interviews will produce a single good programmer.

54resumes=6Interviews; 16Interviews=2programmers; therefore:............................................................................................................................... 3programmers x (16interviews/2programmers) x (54resumes/6interviews) = 216 resumes

units will cancel out except resumes :D

If 16 interviews yield 2 good programmers, 1 good programmer is yielded from 16/2 = 8 interviews. Therefore, 3 good programmers are yielded form 8 * 3 = 24 interviews. The number of resumes needed is 24/6 * 54 = 4 * 54 = 216, by rewording of the question.

54 * (16 * 3 / 2 ) * 6

(((3/2) 16)/6) 54

1. gp = good programmers, int = interviews, res = resumes
2. 3gp * (16int/2gp) * (54res/6int)
3. Simplifying gets me to 4 * 54 = 216 resumes

54=6 candidats, 16=2 programers, 16/2=8, 8=1 programer. 1+2=24 interview. 24 interview : 6 candidats= 4 resume., 54*4=216

54/6 = 9 9x16=144 144/2=3x 72=3x 72x3=x 216=x

9 resumes = 1 interview 8 interview = 1 programmer 24*9 = 216

1. 54 resumes / 6 interview = 9 resumes per interview
2. 16 interviews / 2 good progammers = 8 interviews per good progammer.
3. result number 1 x result number 2, so 9 * 8 = 72 resumes for a good progammer.
4. finally Bradan need 3 good progammer, so 3 * 72 = 216 resumes for 3 good progammers

= 3 X 16/2 X 54/6 = 216

6 candidates / 54 resumes = 1/9 of resumes go to interview

2 hires / 16 interviews = 1/8 of interviewees are hired

3 programmers = x resumes * 1/9 * 1/8

x = 3 * 9 * 8

54 resumes needed to get 6 candidates. so for 1 candidate we need 54/6 resumes. Again, for 2 good programmer we need 16 candidates thus for 3 good prgrmr we need 24 candidates. Therefore to get 24 candidates we need 54/6 x 24=216 resumes.

2:16=3:x x=24 interviews 6:54=24:y y=216 resumes

54/6=9 16/2=8 9=1 8=1 72=8=1 72*3=216

there are 2 good programmers in every 16 candidates, thus it is 1:8 means that he can have 1 programmer in every 8 interviews. then to have 3 programmers, get another 8. *16 interviews + 8 interviews = 24 interviews. *24 interviews divide it by 6 candidates = 4 Additional Information: Expected that he will found 6 candidates in every 54 resumes. So, 54 x 4 = 216

If you have a ratio of 6/54 Interviews to resumes and a ratio of 2/16 good programers to interviews and need to find 3 good programers , then you need 3/x programers to interviews which is equal to 2/16 programers to interviews . You need 24 interviews to have 3 good programers , and 24 divided by 6 will tell you how many units of 54 you need to look through to get your programers. You need 4 units of 54 resumes to find 3 good programers, or 216 resumes.

Take r as resumes, I as candidates to interview and g as good programmers. We know that (from the question), 54 r = 6i and16i = 2g Which means 1 interview need 9 resumes, and 8 interviews are needed for 1 good programmer. (1i= 9r, 1g, = 8i) In this case we need 3 good programmers (3G)

3G = 24i (3 good programmers need 24 interviews)

24i = 216 r (24 interviews need 216 reviews)

Therefore 216 reviews are needed.

54 resumes=6interviews 9 resumes=1 interview 144 resumes=16 interviews 16 interviews = 2 programmers 8 interviews = 1 programmers 24 interviews = 3 programmers 9 resumes=1 interview 216 resumes = 24 interviews answer =216

2 good programmer comes of 16 interview, so by unitary method, 1 programmer will come out of 8 interview. so total interview =3 8= 24. 6 candidates are selected for interview from 54 resumes, so 24 should be selected from 54 4= 216 resumes. which is your answer.

16 interviews=2 good programmers; ?=3 good programmers; =24 interviews(8multiply by 3)---->eq 1; 54 resumes=6 candidates to interview; ?=24 candidtes (from eq 1); 54*4=216;

To get 3 programmers, you'll need to work backward through the ratios. you'll need 1.5 batches of interviews. To get 1.5 batches of interviews, you'll need 4 batches of resumes.

1 by 1, We need 3 good Programmers, so we should take 2 good programmers from 16 interview + 1 good programmers from 8 interview of course... Every 54 resumes, he finds 6 candidates to interview, and every 16 candidates interviewed, he finds 2 good programmers... So this is the formula...

2 good programmers from 16 interviews, 54 resumes = 6 interviews, so 108 resumes = 12 interviews, and 16 - 12 = 4, so 4/6 * 54 will be 36... Then the sum of 2 good programmers is 108+36 = 144 resumes... Next 1 good programmers from 8 interviews... 8/6 * 54 = 72 resumes... Then 3 good programmers is 144 resumes + 72 resumes

6 candidates / 54 resumes = 1/9. 2 good programmers / 16 interviews = 1/8. So 3= 1/9 * 1/8 =1/72. 3 / (1/72)= 3*72 = 216.

16 interview get 2 good programmers

16x3/2 = 24 interview get 2x3/2 =3 good programmer

54 resumes found 6 candidates

54x4 =216 resumes found 6x4 = 24 candidates

therefore, to get 3 good programmer, 216 resumes need to collect

In 16 interviewed persons, 2 are hired. So that is 1 in 8. If he then needs 3 programmers, he needs (3*8) 24 people to interview.

If in 54 resumes he finds 6 candidates to interview, then he needs to collect (54*4) 216 resumes since 24/6 is 4. :)

given that, out of 54 resumes 6 are selected for interview so for every 9 resumes 1 person is selected.(54/6=9). Out of 16 interviews 2 are selected for good programmers, that means for every 144 resumes 2 are good programmers.(16 9=144). Therefore for every 72 resume 1 is selected.(144/2 =1). hence for every 216 resumes 3 are selected.(72 3 = 216)

From Brandan's experience, by 54 resumes he finds 6 candidates and out of 16 interviews he finds 2 good programmers.If he wanted to find 3 good programmers there must be (3 8) i.e, 24 interviews.For 24 interviews there must be (6 4) i.e, 24 candidates, for 24 candidates there must be (54*4) i.e, 216 resumes.

first of all they choose 2 programmers from every 16 interview so it is clear that they choose each programmer from 8 interviews, so they need 24 interviews to choose 3 programmers. now from every 54 resumes they choose 6 interviews and we need 24 interviews so it is clear that 24= 6 4=54 4=216

((16/2)x3/6)x54=216

54 resumes = 6 interviews 16 interviews = (6 + 6 + 4)interviews = (54 + 54 + (2/3)54) resumes = 2 good programmers then, 144 resumes = 2 good programmers so, 3 good programmers = ((144/2) + 144)resumes =216 resumes

16 Interviews:2 Programmers 54 resumes:6 Interviews

We need to find 3 Programmers, if 2 programmers can be found in 16 interviews then we can find another 1 after 8 interviews(half of 16 is 8) that means we need 16+8=24 interviews. Next, if 6 candidates to interview found in 54 resumes, and we needed 24 interviews then we divide (24/6=4) and we multiply it (54*4=216).

54/6=x/16 x=144 x=2 programadores y=3 programadores y= 3/2x y=216

(1.5X16/6)X54

for 2 good programmers need 16 interviewer. so, for 3 good programmers need 24 interviewer. for 6 interviewer need 54 resumes. so, for 24 interviewers need (54*24)/6=216.

In every 54 resumes there will be 6 candidates to interview. And in every 16 interviews there are 2 good programmers. So there must be 24 candidates to interview if he needs 3 good programmers. ( one in every 8 (16/2 = 8), 3 8=24) Cause in every 56 resumes there are 6 candidates, so there must be (54 24/6) = 216 resumes to collect.

16/6=1.67 54 x1.67=144 It takes 144 resumes to find 2 programmers to hire. He must find 1 more which is half of two. Half of 144 is 72. 144+72=216

16/2 = 8 // two good programmers

So if we want 3 good programes we need 24 interviews (16+8). For 54 resumes he finds 6 candidates to interview. So we need 216 resumes (54*4). 4 because 24/6 = 4

54/6=9 Curriculos para 1 Entrevista

16x9= 144 Currículos para 2 Bons Programadores para Contratar Como Você Quer 3 Programadores , Você Divide {144}{2}=72 Daí Você Achou Quantos Currículos por Programador Assim Multiplica Número de Programadores Vez os Currículos = 72x3 = 216 Currículos

2good programmers represented by 16 candidates so 3 good programmers represented by 16 3/2=24candidates than 6 candidates given 54 resumes so for 24 candidates, they give 24/6 54=216 resumes

just divide 54 and 16 to two. then multiply the answer..

8 interviews = 1 programmer for 3 programmers 24 interviews 24/6=4 resumes resume=54*4=216

6 of the 54 are going interview 16 of 162 can get 2 programmer.( 16 of 18/162) In 8 interview can get 1 programmer so if want get 3 must be 24 interviews

6x4/54x4=24/216 so you need 216 resumes to get 3 good programmer

$2\;good\;programmers\in16\;interviews$

$\iff3\;good\;programmers\in\frac{16}{2}\times3\;Or,\;24\;interviews...(i)$

Again, $6\;interviews\in54\;resumes$

$\iff24\;interviews\in54\times4\;Or,\;216\;resumes...(ii)$

Therefore, comparing $(i)$ & $(ii)$ ,we get,

$3\;good\;programmers\in216\;resumes$

back calculation. for 2 good programmers 16 interviews .So,for 3 good programmers (16/2) 3=24 interviews.And for 6 interviews 54 resumes.So, for 24 interviews (54/6) 24=216 interviews.(ans.)

Bradan needs to do 24 interviews ( $16 + 16/2$ ) to find 3 good programers. To get 24 interviews, Brandan needs to collect 216 resumes ( $6 \times 4 = 24$ => $54 \times 4 = 216$ )

Thus answer: 216.

Rewrite the word problem as a numerical problem using ratios:

For every 54 resumes (R), he finds 6 candidates for interview (C): 54R/6C

For every 16 candidates for interview (C), he finds 2 good programmers (P): 16C/2P

Now, we need to get a ratio of candidates for interview (C) to good programmers (P). In order to do this, we multiply the two ratios:

54R/6C * 16C/2P = (54R * 16C)/(6C * 2P) = 864R / 12P

* Note here that the 16C on top and the 6C on the bottom lead to the two C's canceling out. This is why we are left with a ratio of resumes (R) to good programmers (P).

Now, we simplify the ratio so that we have a ratio of 1 to something else:

864R / 12 P = 72 R / 1 P Or, restated: 72 R to 1 P

So, for every one programmer we want, we need to take in 72 resumes. In order to find our final answer, we need simply plug in the number of programmers we want, as such:

1 * 3 P = 72 * 3 R For 3 good programmers, we need 216 resumes

we need 3 good programmers : 2 programmers from 16 interviews , 1 programmer from 8 interviews, so 8+16=24 interviews

54 CVs ------> 6 candidates

x ------> 24

so x=(24*54) / 6 =216

3 good programmers will require 3 (16/2) interviews.i.e24 interviews.24 interviews require 24 (54/6) resumes.i.e,216 resumes

1/9 of the curriculum collected are interviewed, and only 1/8 of these are good progammers. So, (1/9).(1/8)=1/72 of the applicants are good programmers. To find 3 of these, Bradan will have to collect 72*3=216 curriculum in order to get 3 good programmers.

Out of 8 interviews, Bradan finds a good programmer. Out of every 9 resumes, he finds a candidate to interview. To find 3 good programmers, he need 24 interviews and 216 resumes. 3x72= 216 or (24/6)x54