Class P, Q and R were given some candy canes to sell for their charity drive. The average number of candy canes the 3 classes had at first was 243. After Class Q sold four times as many candy canes as Class P and Class R sold ²₃ as many candy canes as Class Q, the average number of candy canes the 3 classes had left was 59. How many candy canes did Class P and Class R sell altogether?

Class P	Class Q	Class R
1x3	4x3
	3x4	2x4
3 u	12 u	8 u

Class P : Class Q : Class R
3 : 12 : 8

Total number of candy canes that the 3 classes had at first
= 3 x 243
= 729

Number of candy canes that the 3 classes left
= 3 x 59 
= 177

Number of candy canes that were sold by 3 classes
= 729 - 177
= 552

3 u + 12 u + 8 u = 552
23 u = 552

1 u = 552 ÷ 23 = 24

Total number of candy canes sold by Class P and Class R
= 3 u + 8 u
= 11 u
= 11 x 24
= 264

Answer(s): 264