If $80 is divided among three people so that the second person will have twice as much as the first, and the third person will have $5 less than the second, then how many dollars will the third person have?
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Here's what I solved in my mind. First: 42.5 + Second, which is half as much as the First: 21.25 + Third, that is $5 less than Second is 16.25. 42.5+21.25+16.25=80. IDK what just happened lol
I fail to understand. Teh first person has $x; the second peson has 2x, and the third person has 2x-5. My equation lookslike this: x+2x+2x-5=80 or 5x-5=80, 5x=75, x+15.
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You have to add five to both sides not subtract it.
Let y be the amount that the first person will have, then the second person will have 2 y and the third person will have 2 y − 5 . Since the sum is 8 0 , we have
y + 2 y + 2 y − 5 = 8 0 ⟹ 5 y = 8 5 ⟹ y = 1 7
The third person will have
2 y − 5 = 2 ( 1 7 ) − 5 = 3 4 − 5 = $ 2 9
suppose, 1st person will get=x $
so, 2nd person will get=2x$
& the 3rd person will get=(2x-5)$
now, x + 2 x + 2 x − 5 = 8 0
or, 5 x = 8 5
or, x = 1 7
so, the 3rd person will get= 2 × 1 7 − 5 = 2 9 $
The easiest way is just to work backwards. I happened to start with 29, but with each solution, it's x+(x+5)+(x/2)= 80, using the formula for each answer until you find one that fufils the formula, which is 29
The point was a challenge.
The same way i do buddy ^^
a $ + 2 a $ + ( 2 a − 5 ) $ = ( 5 a − 5 ) $ = 8 0 $ ⟹ 5 a $ = 8 5 $ ⟹ a $ = 1 7 $
( 2 a − 5 ) $ = ( 2 × 1 7 − 5 ) $ = ( 3 4 − 5 ) $ = 2 9 $
let A be the amount of money of the first person, B the second person and C the third person
from the problem,
B = 2A
C = B - 5 = 2A - 5
we know that
A + B + C = 80
A + 2A + (2A - 5) = 80
A + 2A + 2A - 5 = 80
5A = 85
A = 17
C = 2(17) - 5 = 34 - 5 = 29
the equation is :
x + 2x + (2x-5)=80
to make it easy we will make it a different equation by removing the - 5 to the other side like this :
x + 2x + 2x = 80 + 5 = 85
now we will make a ratio like this :
1st : 2nd : 3rd : sum(1st + 2nd + 3rd)
1 : 2 : 2 : 5
? : ? : ? : 85
and take the v.of one part like this :
85 / 5 = 17
now back to the original equation
17 + (17 * 2) + (17 * 2 - 5) = 17 + 34 + (34 - 5) = 17 + 34 + 29 = 80
so the third money equals 29
Here's what I solved in my mind. First: 42.5 + Second, which is half as much as the First: 21.25 + Third, that is $5 less than Second is 16.25. 42.5+21.25+16.25=80. IDK what just happened lol
First guy's money is N. Second guy's money is W. Third guy's money is T
Firstly, the total money is 80, so are first equation is:
N + W + T = 80
The second has twice as much as the first, so are second equation is:
W = 2N
The third has 5 less than the second, so finally:
T = W - 5
So our three equations are:
N + W + T = 80
W = 2N
T = W - 5
We want to have only one letter in the first equation, so we need to eliminate two
W = 2N >> N = 0.5W
Now we can rewrite the first equation with only W's (the second man's money) by replacing the N and T with their equations (T= W - 5) and (N = 0.5W)
(0.5W) + W + (W - 5) = 80
2.5W - 5 = 80 (simplified)
2.5W = 85 (added 5 to each side)
W = 34 (divided each side by 2.5)
So the second man would get get $34, and we can use our third equation to help us find the amount the third man gets
T = W - 5
T = 34 - 5 (filled in known variables)
T = 29 (added)
So the third man got $29
x+2x+2x-5=80 5x=85 x=17 2*17-5 29
a+b+c=80; 2a=b; b-5=c; b=34 so a=29
2a=b; if b=34, then a=17
let 'x' be the money the first dude have then according to the question, x+( 2x ) + ( 2x-5 ) = 80 then, 5x = 85 therefore, x= 17 so the third dude must have (2x - 5) i.e, the third dude have rs 29 !!!
You can solve this problem by plugging each answer choice into the equation
x
+1.5(
x
+5)=80. The only answer choice that fits is 29.
Lets first man share be X then the solution is as follous ,X+2X+(2X-5)=80 gives X=17 but here we wants third person share which is (2X-5)=(2*17-5)=29
Let the first one has $x.... According to question, second one will have $2x... Then third one would have $[80-(x+2x)]... But given, third will have 2x-5... So 2x-5=80-(x+2x)... 2x-5=80-3x... 5x=85... x=17... third one: 2x-5 = 29
let: x be the first dude, y be the second dude z be the third dude
x+y+z=80 y=2x z=2x-5
therefore, x+2x+(2x-5)=80 x+2x+2x-5=80 5x-5=80 5x=85 x=17
z=2x-5 therefore by substituting 17 into x we get the answer z=2*17-5 z=34-5 z=$29
Now check if 17+34+29=80
z=$29
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Let the first person have $x. Then, the second has $(2x) and the third has $(2x-5).
Hence according to the statement of the problem, we have
(x)+ (2x) + (2x - 5) = 80.
⇒ x = 17.
So the third person will have 2x - 5 = 2(17) - 5 = $29.