Mr Warren bought some pizzas for a group of students. 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
16 of a pizza and the girls had 7
13 pizzas left. How many pizzas did Mr Warren buy?
|
Girls (1) |
Boys (2) |
Before |
4 u |
1 u |
Change |
- 1 p |
- 3 p |
After |
44 |
0 |
12 =
36 Cutting the slices of pizzas into same size. Each pizza was cut into 6 slices. Every girl ate 1 slice of pizza and every boy ate 3 slices of pizza.
Number of slices that the girls had left
= 7
13 ÷
16 =
223 x 6
= 44
4 u - 1 p = 44 --- (1)
1 u - 3 p = 0
1 u = 3 p --- (2)
Make u the same.
(2)
x44 u = 12 p --- (3)
Substitute (3) into (1).
4 u - 1 p = 44
12 p - 1 p = 44
11 p = 44
1 p = 44 ÷ 11 = 4
Total number of slices of pizzas for girls
= 44 + 1 p
= 44 + 4
= 48
Total number of slices of pizzas for boys
= 48 ÷ 4
= 12
Total number of slices of pizzas for students
= 48 + 12
= 60
Total number of pizzas that Mr Warren bought
= 60 ÷ 6
= 10
Answer(s): 10