Mr Jeremy bought some pizzas for a group of children. There was an equal number of boys and girls. The boys received 2 times as many pizzas as the girls. Each girl ate
14 of a pizza and the girls finished all the pizzas given to them. Each boy ate
18 of a pizza and the boys had 10
12 pizzas left. How many pizzas did Mr Jeremy buy?
|
Boys (1) |
Girls (2) |
Before |
2 u |
1 u |
Change |
- 1 p |
- 2 p |
After |
84 |
0 |
14 =
28 Cutting the slices of pizzas into same size. Each pizza was cut into 8 slices. Every boy ate 1 slice of pizza and every girl ate 2 slices of pizza.
Number of slices that the boys had left
= 10
12 ÷
18 =
212 x 8
= 84
2 u - 1 p = 84 --- (1)
1 u - 2 p = 0
1 u = 2 p --- (2)
Make u the same.
(2)
x22 u = 4 p --- (3)
Substitute (3) into (1).
2 u - 1 p = 84
4 p - 1 p = 84
3 p = 84
1 p = 84 ÷ 3 = 28
Total number of slices of pizzas for boys
= 84 + 1 p
= 84 + 28
= 112
Total number of slices of pizzas for girls
= 112 ÷ 2
= 56
Total number of slices of pizzas for children
= 112 + 56
= 168
Total number of pizzas that Mr Jeremy bought
= 168 ÷ 8
= 21
Answer(s): 21