There are 166 children in a basketball court.
27 of the boys and
35 of the girls wear caps, there are 106 children in the basketball court who do not wear caps. How many girls wear caps?
| |
Boys |
Girls |
Total |
| Do not wear caps |
5 u |
2 p |
106 |
| Wear caps |
2 u |
3 p |
60 |
| Total |
7 u |
5 p |
166 |
Number of children who wear caps
= 166 - 106
= 60
5 u + 2 p = 106 --- (1)
2 u + 3 p = 60 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 212 --- (3)
(2)
x 5 10 u + 15 p = 300 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 300 - 212
15 p - 4 p = 88
11 p = 88
1 p = 88 ÷ 11 = 8
Number of girls who wear caps
= 3 p
= 3 x 8
= 24
Answer(s): 24
