Excited Brilliant Students
There are 720 Brilliant students who are working on this problem. One third of them are girls and the remainder are boys. If three-fifth of the girls are really excited to work on this problem and one-half of the boys are really excited to work on this problem, how many students are really excited to work on this problem?
The answer is 384.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
6 solutions
Moderator note:
It helps to be clear in the definitions that you are working with.
Gostaria de saber o porquê estão multiplicando o número total de alunOs por 1/2, e não 1/5.
ta errado ali disse que era um quinto então seria 240 a resposta '-'
A nice and clear solution !!!!
divide all 720 students into boys and girl as shown below thus we obtain 1/3.720 = 240 girls and the remaining 720-240 = 480 are boys and so for the excited students 3/5.240 = 144 girls and 1/2.480 = 240 boys afterwards add up the result 240+144 = 384 students ^_^
okay!
first,mutiply the one third of girls to 720 students to find the percentage,and then your anwer will be 240,and the rest are 480 boys,and in the given there are three fifth of the girls that are really excited,then multiply again to find the percentage,and the product is 144,then there are 480 and there are 1 half of them are really excited and multiply the 1half to 480 and your answer will be 240,and then the last thing is to add up 3 fifth of the girls to the 1half of boys to find the overall number of students that was really excited.240+144=384-FINAL ANSWER.
Moderator note:
Note that because the proportion of boys and girls are different, we cannot simply take 2 5 3 + 2 1 × 7 2 0 .
How can we find the proportion of really excited Brilliant students?
Das duas uma, ou o problema está mal formulado/traduzido ou o gabarito está errado! Se analisarmos o enunciado atentamente, verificaremos que a resposta correta é apenas parte das meninas - 3/5, isto é, 144 alunas. Avaliem a análise!!
Log in to reply
Concordo, se a tradução entivesse certa a resposta seria 240
It is said that out of 720 students, 3 1 rd are girls and rest are boys. Also, 2 1 th of the boys and 5 3 th of the girls are excited to solve the problem.
No. of girls = 3 1 × 7 2 0 = 2 4 0 and no. of boys= 720-240=480
No. of excited boys = 2 1 × 4 8 0 = 2 4 0 and no. of excited girls = 5 3 × 2 4 0 = 3 × 4 8 = 1 4 4
So, total no. of excited students = 2 4 0 + 1 4 4 = 3 8 4
jumlah gadis : 1/3 x 720 = 240 gadis, dan jumlah laki-laki : 720 - 240 = 480 laki - laki. Jumlah gadis yang bekerja keras : 3/5 x 240 = 144 gadis, dan jumlah laki - laki yang kerja keras : 1/2 x 480 = 240 laki - laki. Maka jumlah pelajar yang kerja keras = 144 gadis + 240 laki - laki = 384 pelajar.
First you find out what is 1/3 of 720, which would be the girls. This would tell you that theirs 240 girl. Then it says the rest are boys, which equal to 2/3 or 480 boys. It says that 3/5's of the 240 girl are excited, which equals 144. Then they said half of the 480 boys are excited, which is 240 of them. Last it says how many of them are excited, which equals up to 384.
yess.
Total students = 720
out of them girls are = (1/3)th = [720 x 1/3] = 240 girls.
out of the total students no.of boys are = [720 - 240 = 480]
really excited students are = {[240 x 3/5] + [480 x 1(1/2)]} = (144 + 240)students
= 384 students