Class S, T and U were given some mini cupcakes to sell for their charity drive. The average number of mini cupcakes the 3 classes had at first was 242. After Class T sold four times as many mini cupcakes as Class S and Class U sold
23 as many mini cupcakes as Class T, the average number of mini cupcakes the 3 classes had left was 58. How many mini cupcakes did Class S and Class U sell altogether?
Class S |
Class T |
Class U |
1x3 |
4x3 |
|
|
3x4 |
2x4 |
3 u |
12 u |
8 u |
Class S : Class T : Class U
3 : 12 : 8
Total number of mini cupcakes that the 3 classes had at first
= 3 x 242
= 726
Number of mini cupcakes that the 3 classes left
= 3 x 58
= 174
Number of mini cupcakes that were sold by 3 classes
= 726 - 174
= 552
3 u + 12 u + 8 u = 552
23 u = 552
1 u = 552 ÷ 23 = 24
Total number of mini cupcakes sold by Class S and Class U
= 3 u + 8 u
= 11 u
= 11 x 24
= 264
Answer(s): 264