There are 132 students in a basketball court.
27 of the girls and
35 of the boys wear hats, there are 88 students in the basketball court 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 students 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
