There are 158 students in a tuckshop.
27 of the boys and
35 of the girls wear caps, there are 105 students in the tuckshop who do not wear caps. How many girls do not wear caps?
| |
Boys |
Girls |
Total |
| Do not wear caps |
5 u |
2 p |
105 |
| Wear caps |
2 u |
3 p |
53 |
| Total |
7 u |
5 p |
158 |
Number of students who wear caps
= 158 - 105
= 53
5 u + 2 p = 105 --- (1)
2 u + 3 p = 53 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 210 --- (3)
(2)
x 5 10 u + 15 p = 265 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 265 - 210
15 p - 4 p = 55
11 p = 55
1 p = 55 ÷ 11 = 5
Number of girls who do not wear caps
= 2 p
= 2 x 5
= 10
Answer(s): 10
