Mr Flynn bought some pizzas for a group of children. There was an equal number of boys and girls. The boys received 3 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 6¹₄ pizzas left. How many pizzas did Mr Flynn buy?

	Boys (1)	Girls (2)
Before	3 u	1 u
Change	- 1 p	- 2 p
After	50	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
= 6¹₄ ÷ ¹₈ 
= ²⁵₄ x 8
= 50

3 u - 1 p = 50 --- (1)

1 u - 2 p = 0
1 u = 2 p --- (2)

Make u the same.

(2)_x3
3 u = 6 p --- (3)

Substitute (3) into (1).
3 u - 1 p = 50
6 p - 1 p = 50
5 p = 50

1 p = 50 ÷ 5 = 10

Total number of slices of pizzas for boys
= 50 + 1 p
= 50 + 10
= 60

Total number of slices of pizzas for girls
= 60 ÷ 3
= 20

Total number of slices of pizzas for children
= 60 + 20
= 80

Total number of pizzas that Mr Flynn bought
= 80 ÷ 8
= 10

Answer(s): 10