Class X, Y and Z were given some candy canes to sell for their fund-raising project. The average number of candy canes the 3 classes had at first was 233. After Class Y sold thrice as many candy canes as Class X and Class Z sold ⁵₆ as many candy canes as Class Y, the average number of candy canes the 3 classes had left was 51. How many candy canes did Class X and Class Z sell altogether?

Class X	Class Y	Class Z
1x2	3x2
	6x1	5x1
2 u	6 u	5 u

Class X : Class Y : Class Z
2 : 6 : 5

Total number of candy canes that the 3 classes had at first
= 3 x 233
= 699

Number of candy canes that the 3 classes left
= 3 x 51 
= 153

Number of candy canes that were sold by 3 classes
= 699 - 153
= 546

2 u + 6 u + 5 u = 546
13 u = 546

1 u = 546 ÷ 13 = 42

Total number of candy canes sold by Class X and Class Z
= 2 u + 5 u
= 7 u
= 7 x 42
= 294

Answer(s): 294