Class C, D and E were given some sweets to sell for their charity drive. The average number of sweets the 3 classes had at first was 204. After Class D sold twice as many sweets as Class C and Class E sold
34 as many sweets as Class D, the average number of sweets the 3 classes had left was 42. How many sweets 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 sweets that the 3 classes had at first
= 3 x 204
= 612
Number of sweets that the 3 classes left
= 3 x 42
= 126
Number of sweets that were sold by 3 classes
= 612 - 126
= 486
2 u + 4 u + 3 u = 486
9 u = 486
1 u = 486 ÷ 9 = 54
Total number of sweets sold by Class C and Class E
= 2 u + 3 u
= 5 u
= 5 x 54
= 270
Answer(s): 270