Fifteen minutes ago, 60% of the students in a tuckshop were girls. 35 more students entered the tuckshop. As a result, the number of girls increased by 40% and the number of boys increased by 75%. How many students are in the tuckshop now?
|
Girls |
Boys |
Total |
Before |
5 u |
2 u |
7 u |
Change |
+ 2 u |
+ 1.5 u |
+ 3.5 u |
After |
7 u |
3.5 u |
10.5 u |
60% =
60100 =
35Number of more girls who entered the tuckshop
= 40% x 5 u
=
40100 x 5 u
= 2 u
Number of more boys who entered the tuckshop
= 75% x 2 u
=
75100 x 2 u
= 1.5 u
Total number of more students who entered the tuckshop
= 2 u + 1.5 u
= 3.5 u
3.5 u = 35
1 u = 35 ÷ 3.5 = 10
Number of students in the tuckshop now
= 7 u + 3.5 u
= 10.5 u
= 10.5 x 10
= 105
Answer(s): 105