There are 141 children in a parade square.
27 of the boys and
35 of the girls wear hats, there are 96 children in the parade square who do not wear hats. How many girls wear hats?
| |
Boys |
Girls |
Total |
| Do not wear hats |
5 u |
2 p |
96 |
| Wear hats |
2 u |
3 p |
45 |
| Total |
7 u |
5 p |
141 |
Number of children who wear hats
= 141 - 96
= 45
5 u + 2 p = 96 --- (1)
2 u + 3 p = 45 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 192 --- (3)
(2)
x 5 10 u + 15 p = 225 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 225 - 192
15 p - 4 p = 33
11 p = 33
1 p = 33 ÷ 11 = 3
Number of girls who wear hats
= 3 p
= 3 x 3
= 9
Answer(s): 9
