There are 152 students in a basketball court.
38 of the girls and
47 of the boys wear hats, there are 84 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 |
3 p |
84 |
| Wear hats |
3 u |
4 p |
68 |
| Total |
8 u |
7 p |
152 |
Number of students who wear hats
= 152 - 84
= 68
5 u + 3 p = 84 --- (1)
3 u + 4 p = 68 --- (2)
Make u the same.
(1)
x 3 15 u + 9 p = 252 --- (3)
(2)
x 5 15 u + 20 p = 340 --- (4)
(4) - (3)
(15 u + 20 p) - (15 u + 9 p) = 340 - 252
20 p - 9 p = 88
11 p = 88
1 p = 88 ÷ 11 = 8
Number of boys who do not wear hats
= 3 p
= 3 x 8
= 24
Answer(s): 24
