Class F, G and H were given some candy canes to sell for their charity drive. The average number of candy canes the 3 classes had at first was 242. After Class G sold twice as many candy canes as Class F and Class H sold
67 as many candy canes as Class G, the average number of candy canes the 3 classes had left was 44. How many candy canes did Class F and Class H sell altogether?
Class F |
Class G |
Class H |
1x7 |
2x7 |
|
|
7x2 |
6x2 |
7 u |
14 u |
12 u |
Class F : Class G : Class H
7 : 14 : 12
Total number of candy canes that the 3 classes had at first
= 3 x 242
= 726
Number of candy canes that the 3 classes left
= 3 x 44
= 132
Number of candy canes that were sold by 3 classes
= 726 - 132
= 594
7 u + 14 u + 12 u = 594
33 u = 594
1 u = 594 ÷ 33 = 18
Total number of candy canes sold by Class F and Class H
= 7 u + 12 u
= 19 u
= 19 x 18
= 342
Answer(s): 342