There are 132 pupils in a parade square.
27 of the girls and
35 of the boys wear hats, there are 88 pupils 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 |
88 |
| Wear hats |
2 u |
3 p |
44 |
| Total |
7 u |
5 p |
132 |
Number of pupils who wear hats
= 132 - 88
= 44
5 u + 2 p = 88 --- (1)
2 u + 3 p = 44 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 176 --- (3)
(2)
x 5 10 u + 15 p = 220 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 220 - 176
15 p - 4 p = 44
11 p = 44
1 p = 44 ÷ 11 = 4
Number of boys who do not wear hats
= 2 p
= 2 x 4
= 8
Answer(s): 8
