There are 172 pupils in a canteen.
38 of the boys and
47 of the girls wear hats, there are 102 pupils in the canteen who do not wear hats. How many girls wear hats?
| |
Boys |
Girls |
Total |
| Do not wear hats |
5 u |
3 p |
102 |
| Wear hats |
3 u |
4 p |
70 |
| Total |
8 u |
7 p |
172 |
Number of pupils who wear hats
= 172 - 102
= 70
5 u + 3 p = 102 --- (1)
3 u + 4 p = 70 --- (2)
Make u the same.
(1)
x 3 15 u + 9 p = 306 --- (3)
(2)
x 5 15 u + 20 p = 350 --- (4)
(4) - (3)
(15 u + 20 p) - (15 u + 9 p) = 350 - 306
20 p - 9 p = 44
11 p = 44
1 p = 44 ÷ 11 = 4
Number of girls who wear hats
= 4 p
= 4 x 4
= 16
Answer(s): 16
