There are 159 children in a hall.
27 of the girls and
35 of the boys wear scarves, there are 101 children in the hall who do not wear scarves. How many boys wear scarves?
| |
Girls |
Boys |
Total |
| Do not wear scarves |
5 u |
2 p |
101 |
| Wear scarves |
2 u |
3 p |
58 |
| Total |
7 u |
5 p |
159 |
Number of children who wear scarves
= 159 - 101
= 58
5 u + 2 p = 101 --- (1)
2 u + 3 p = 58 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 202 --- (3)
(2)
x 5 10 u + 15 p = 290 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 290 - 202
15 p - 4 p = 88
11 p = 88
1 p = 88 ÷ 11 = 8
Number of boys who wear scarves
= 3 p
= 3 x 8
= 24
Answer(s): 24
