Class C, D and E were given some mini cupcakes to sell for their charity drive. The average number of mini cupcakes the 3 classes had at first was 219. After Class D sold twice as many mini cupcakes as Class C and Class E sold
34 as many mini cupcakes as Class D, the average number of mini cupcakes the 3 classes had left was 51. How many mini cupcakes did Class C and Class E sell altogether?
Class C |
Class D |
Class E |
1x2 |
2x2 |
|
|
4x1 |
3x1 |
2 u |
4 u |
3 u |
Class C : Class D : Class E
2 : 4 : 3
Total number of mini cupcakes that the 3 classes had at first
= 3 x 219
= 657
Number of mini cupcakes that the 3 classes left
= 3 x 51
= 153
Number of mini cupcakes that were sold by 3 classes
= 657 - 153
= 504
2 u + 4 u + 3 u = 504
9 u = 504
1 u = 504 ÷ 9 = 56
Total number of mini cupcakes sold by Class C and Class E
= 2 u + 3 u
= 5 u
= 5 x 56
= 280
Answer(s): 280