There are 124 pupils in a parade square.
27 of the boys and
35 of the girls wear hats, there are 76 pupils 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 |
76 |
| Wear hats |
2 u |
3 p |
48 |
| Total |
7 u |
5 p |
124 |
Number of pupils who wear hats
= 124 - 76
= 48
5 u + 2 p = 76 --- (1)
2 u + 3 p = 48 --- (2)
Make u the same.
(1)
x 2 10 u + 4 p = 152 --- (3)
(2)
x 5 10 u + 15 p = 240 --- (4)
(4) - (3)
(10 u + 15 p) - (10 u + 4 p) = 240 - 152
15 p - 4 p = 88
11 p = 88
1 p = 88 ÷ 11 = 8
Number of girls who wear hats
= 3 p
= 3 x 8
= 24
Answer(s): 24
