Class C, D and E were given some mochi balls to sell for their charity drive. The average number of mochi balls the 3 classes had at first was 215. After Class D sold four times as many mochi balls as Class C and Class E sold
78 as many mochi balls as Class D, the average number of mochi balls the 3 classes had left was 45. How many mochi balls did Class C and Class E sell altogether?
Class C |
Class D |
Class E |
1x2 |
4x2 |
|
|
8x1 |
7x1 |
2 u |
8 u |
7 u |
Class C : Class D : Class E
2 : 8 : 7
Total number of mochi balls that the 3 classes had at first
= 3 x 215
= 645
Number of mochi balls that the 3 classes left
= 3 x 45
= 135
Number of mochi balls that were sold by 3 classes
= 645 - 135
= 510
2 u + 8 u + 7 u = 510
17 u = 510
1 u = 510 ÷ 17 = 30
Total number of mochi balls sold by Class C and Class E
= 2 u + 7 u
= 9 u
= 9 x 30
= 270
Answer(s): 270