There are 119 students in a basketball court.
27 of the boys and
35 of the girls wear caps, there are 74 students in the basketball court who do not wear caps. How many girls do not wear caps?
| |
Boys |
Girls |
Total |
| Do not wear caps |
5 u |
2 p |
74 |
| Wear caps |
2 u |
3 p |
45 |
| Total |
7 u |
5 p |
119 |
Number of students who wear caps
= 119 - 74
= 45
5 u + 2 p = 74 --- (1)
2 u + 3 p = 45 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 148 --- (3)
(2)
x 5 10 u + 15 p = 225 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 225 - 148
15 p - 4 p = 77
11 p = 77
1 p = 77 ÷ 11 = 7
Number of girls who do not wear caps
= 2 p
= 2 x 7
= 14
Answer(s): 14
