In a school, 0.5 of the boys and 0.7 of the girls take part in quizzes. There is an equal number of girls and boys who do not take part in quizzes. If 48 students do not take part in quizzes, how many more students take part in quizzes than those who do not take part in quizzes?
Boys |
Girls |
Take part |
Do not take part |
Take part |
Do not take part |
1x3 |
1x3 |
7 |
3 |
|
1x3 |
|
1x3 |
3 u |
3 u |
7 u |
3 u |
0.5 =
12 Boys that take part : Boys that do not take part = 1 : 1
0.7 =
710 Girls that take part : Girls that do not take part = 7 : 3
The number of girls who do not take part is repeated. Make the number of girls who do not take part the same. LCM of 1 and 3 is 3.
Number of students who do not take part in quizzes
= 3 u + 3 u
= 6 u
6 u = 48
1 u = 48 ÷ 6 = 8
Number of students who take part in quizzes
= 3 u + 7 u
= 10 u
Number of more students who take part in quizzes than those who do not take part in quizzes
= 10 u - 6 u
= 4 u
= 4 x 8
= 32
Answer(s): 32