Mr Jenson bought some pizzas for a group of pupils. 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 13
34 pizzas left. How many pizzas did Mr Jenson buy?
|
Girls (1) |
Boys (2) |
Before |
3 u |
1 u |
Change |
- 1 p |
- 2 p |
After |
165 |
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
= 13
34 ÷
112 =
554 x 12
= 165
3 u - 1 p = 165 --- (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 = 165
6 p - 1 p = 165
5 p = 165
1 p = 165 ÷ 5 = 33
Total number of slices of pizzas for girls
= 165 + 1 p
= 165 + 33
= 198
Total number of slices of pizzas for boys
= 198 ÷ 3
= 66
Total number of slices of pizzas for pupils
= 198 + 66
= 264
Total number of pizzas that Mr Jenson bought
= 264 ÷ 12
= 22
Answer(s): 22