Class W, X and Y were given some lollipops to sell for their charity drive. The average number of lollipops the 3 classes had at first was 219. After Class X sold four times as many lollipops as Class W and Class Y sold
23 as many lollipops as Class X, the average number of lollipops the 3 classes had left was 58. How many lollipops did Class W and Class Y sell altogether?
Class W |
Class X |
Class Y |
1x3 |
4x3 |
|
|
3x4 |
2x4 |
3 u |
12 u |
8 u |
Class W : Class X : Class Y
3 : 12 : 8
Total number of lollipops that the 3 classes had at first
= 3 x 219
= 657
Number of lollipops that the 3 classes left
= 3 x 58
= 174
Number of lollipops that were sold by 3 classes
= 657 - 174
= 483
3 u + 12 u + 8 u = 483
23 u = 483
1 u = 483 ÷ 23 = 21
Total number of lollipops sold by Class W and Class Y
= 3 u + 8 u
= 11 u
= 11 x 21
= 231
Answer(s): 231