Mr Vaidev 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
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 9
13 pizzas left. How many pizzas did Mr Vaidev buy?
|
Girls (1) |
Boys (2) |
Before |
3 u |
1 u |
Change |
- 1 p |
- 3 p |
After |
56 |
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
= 9
13 ÷
16 =
283 x 6
= 56
3 u - 1 p = 56 --- (1)
1 u - 3 p = 0
1 u = 3 p --- (2)
Make u the same.
(2)
x33 u = 9 p --- (3)
Substitute (3) into (1).
3 u - 1 p = 56
9 p - 1 p = 56
8 p = 56
1 p = 56 ÷ 8 = 7
Total number of slices of pizzas for girls
= 56 + 1 p
= 56 + 7
= 63
Total number of slices of pizzas for boys
= 63 ÷ 3
= 21
Total number of slices of pizzas for children
= 63 + 21
= 84
Total number of pizzas that Mr Vaidev bought
= 84 ÷ 6
= 14
Answer(s): 14