Class W, X and Y were given some chocolate bars to sell for their fund-raising project. The average number of chocolate bars the 3 classes had at first was 228. After Class X sold thrice as many chocolate bars as Class W and Class Y sold
56 as many chocolate bars as Class X, the average number of chocolate bars the 3 classes had left was 46. How many chocolate bars did Class W and Class Y sell altogether?
Class W |
Class X |
Class Y |
1x2 |
3x2 |
|
|
6x1 |
5x1 |
2 u |
6 u |
5 u |
Class W : Class X : Class Y
2 : 6 : 5
Total number of chocolate bars that the 3 classes had at first
= 3 x 228
= 684
Number of chocolate bars that the 3 classes left
= 3 x 46
= 138
Number of chocolate bars that were sold by 3 classes
= 684 - 138
= 546
2 u + 6 u + 5 u = 546
13 u = 546
1 u = 546 ÷ 13 = 42
Total number of chocolate bars sold by Class W and Class Y
= 2 u + 5 u
= 7 u
= 7 x 42
= 294
Answer(s): 294