There are 136 children in a basketball court.
27 of the boys and
35 of the girls wear hats, there are 83 children in the basketball court who do not wear hats. How many girls do not wear hats?
| |
Boys |
Girls |
Total |
| Do not wear hats |
5 u |
2 p |
83 |
| Wear hats |
2 u |
3 p |
53 |
| Total |
7 u |
5 p |
136 |
Number of children who wear hats
= 136 - 83
= 53
5 u + 2 p = 83 --- (1)
2 u + 3 p = 53 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 166 --- (3)
(2)
x 5 10 u + 15 p = 265 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 265 - 166
15 p - 4 p = 99
11 p = 99
1 p = 99 ÷ 11 = 9
Number of girls who do not wear hats
= 2 p
= 2 x 9
= 18
Answer(s): 18
