There are 152 children in a school field.
27 of the boys and
35 of the girls wear scarves, there are 96 children in the school field who do not wear scarves. How many girls wear scarves?
| |
Boys |
Girls |
Total |
| Do not wear scarves |
5 u |
2 p |
96 |
| Wear scarves |
2 u |
3 p |
56 |
| Total |
7 u |
5 p |
152 |
Number of children who wear scarves
= 152 - 96
= 56
5 u + 2 p = 96 --- (1)
2 u + 3 p = 56 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 192 --- (3)
(2)
x 5 10 u + 15 p = 280 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 280 - 192
15 p - 4 p = 88
11 p = 88
1 p = 88 ÷ 11 = 8
Number of girls who wear scarves
= 3 p
= 3 x 8
= 24
Answer(s): 24
