There are 200 children in a tuckshop.
38 of the girls and
47 of the boys wear hats, there are 114 children in the tuckshop who do not wear hats. How many boys wear hats?
| |
Girls |
Boys |
Total |
| Do not wear hats |
5 u |
3 p |
114 |
| Wear hats |
3 u |
4 p |
86 |
| Total |
8 u |
7 p |
200 |
Number of children who wear hats
= 200 - 114
= 86
5 u + 3 p = 114 --- (1)
3 u + 4 p = 86 --- (2)
Make u the same.
(1)
x 3 15 u + 9 p = 342 --- (3)
(2)
x 5 15 u + 20 p = 430 --- (4)
(4) - (3)
(15 u + 20 p) - (15 u + 9 p) = 430 - 342
20 p - 9 p = 88
11 p = 88
1 p = 88 ÷ 11 = 8
Number of boys who wear hats
= 4 p
= 4 x 8
= 32
Answer(s): 32
