Class D, E and F 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 248. After Class E sold twice as many candy canes as Class D and Class F sold ⁶₇ as many candy canes as Class E, the average number of candy canes the 3 classes had left was 50. How many candy canes did Class D and Class F sell altogether?

Class D	Class E	Class F
1x7	2x7
	7x2	6x2
7 u	14 u	12 u

Class D : Class E : Class F
7 : 14 : 12

Total number of candy canes that the 3 classes had at first
= 3 x 248
= 744

Number of candy canes that the 3 classes left
= 3 x 50 
= 150

Number of candy canes that were sold by 3 classes
= 744 - 150
= 594

7 u + 14 u + 12 u = 594
33 u = 594

1 u = 594 ÷ 33 = 18

Total number of candy canes sold by Class D and Class F
= 7 u + 12 u
= 19 u
= 19 x 18
= 342

Answer(s): 342