There are 164 students in a tuckshop.
27 of the girls and
35 of the boys wear caps, there are 103 students in the tuckshop who do not wear caps. How many boys do not wear caps?
| |
Girls |
Boys |
Total |
| Do not wear caps |
5 u |
2 p |
103 |
| Wear caps |
2 u |
3 p |
61 |
| Total |
7 u |
5 p |
164 |
Number of students who wear caps
= 164 - 103
= 61
5 u + 2 p = 103 --- (1)
2 u + 3 p = 61 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 206 --- (3)
(2)
x 5 10 u + 15 p = 305 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 305 - 206
15 p - 4 p = 99
11 p = 99
1 p = 99 ÷ 11 = 9
Number of boys who do not wear caps
= 2 p
= 2 x 9
= 18
Answer(s): 18
