There are 110 children in a parade square.
27 of the girls and
35 of the boys wear hats, there are 66 children in the parade square who do not wear hats. How many boys do not wear hats?
| |
Girls |
Boys |
Total |
| Do not wear hats |
5 u |
2 p |
66 |
| Wear hats |
2 u |
3 p |
44 |
| Total |
7 u |
5 p |
110 |
Number of children who wear hats
= 110 - 66
= 44
5 u + 2 p = 66 --- (1)
2 u + 3 p = 44 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 132 --- (3)
(2)
x 5 10 u + 15 p = 220 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 220 - 132
15 p - 4 p = 88
11 p = 88
1 p = 88 ÷ 11 = 8
Number of boys who do not wear hats
= 2 p
= 2 x 8
= 16
Answer(s): 16
