Mr Albert bought some pizzas for a group of children. There was an equal number of girls and boys. The girls received 4 times as many pizzas as the boys. Each boy ate
12 of a pizza and the boys finished all the pizzas given to them. Each girl ate
14 of a pizza and the girls had 10
12 pizzas left. How many pizzas did Mr Albert buy?
| |
Girls
(1) |
Boys
(2) |
| Before |
4 u |
1 u |
| Change |
- 1 p |
- 2 p |
| After |
42 |
0 |
12 =
24 Cutting the slices of pizzas into same size. Each pizza was cut into 4 slices. Every girl ate 1 slice of pizza and every boy ate 2 slices of pizza.
Number of slices that the girls had left
= 10
12 ÷
14 =
212 x 4
= 42
4 u - 1 p = 42 --- (1)
1 u - 2 p = 0
1 u = 2 p --- (2)
Make u the same.
(2)
x44 u = 8 p --- (3)
Substitute (3) into (1).
4 u - 1 p = 42
8 p - 1 p = 42
7 p = 42
1 p = 42 ÷ 7 = 6
Total number of slices of pizzas for girls
= 42 + 1 p
= 42 + 6
= 48
Total number of slices of pizzas for boys
= 48 ÷ 4
= 12
Total number of slices of pizzas for children
= 48 + 12
= 60
Total number of pizzas that Mr Albert bought
= 60 ÷ 4
= 15
Answer(s): 15
