Class V, W and X 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 242. After Class W sold twice as many candy canes as Class V and Class X sold
67 as many candy canes as Class W, the average number of candy canes the 3 classes had left was 55. How many candy canes did Class V and Class X sell altogether?
Class V |
Class W |
Class X |
1x7 |
2x7 |
|
|
7x2 |
6x2 |
7 u |
14 u |
12 u |
Class V : Class W : Class X
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 55
= 165
Number of candy canes that were sold by 3 classes
= 726 - 165
= 561
7 u + 14 u + 12 u = 561
33 u = 561
1 u = 561 ÷ 33 = 17
Total number of candy canes sold by Class V and Class X
= 7 u + 12 u
= 19 u
= 19 x 17
= 323
Answer(s): 323