Mr Jeremy bought some pizzas for a group of children. There was an equal number of girls and boys. The girls received 3 times as many pizzas as the boys. Each boy ate
16 of a pizza and the boys finished all the pizzas given to them. Each girl ate
112 of a pizza and the girls had 12
12 pizzas left. How many pizzas did Mr Jeremy buy?
|
Girls (1) |
Boys (2) |
Before |
3 u |
1 u |
Change |
- 1 p |
- 2 p |
After |
150 |
0 |
16 =
212 Cutting the slices of pizzas into same size. Each pizza was cut into 12 slices. Every girl ate 1 slice of pizza and every boy ate 2 slices of pizza.
Number of slices that the girls had left
= 12
12 ÷
112 =
252 x 12
= 150
3 u - 1 p = 150 --- (1)
1 u - 2 p = 0
1 u = 2 p --- (2)
Make u the same.
(2)
x33 u = 6 p --- (3)
Substitute (3) into (1).
3 u - 1 p = 150
6 p - 1 p = 150
5 p = 150
1 p = 150 ÷ 5 = 30
Total number of slices of pizzas for girls
= 150 + 1 p
= 150 + 30
= 180
Total number of slices of pizzas for boys
= 180 ÷ 3
= 60
Total number of slices of pizzas for children
= 180 + 60
= 240
Total number of pizzas that Mr Jeremy bought
= 240 ÷ 12
= 20
Answer(s): 20