Class D, E and F were given some sweets to sell for their charity drive. The average number of sweets the 3 classes had at first was 227. After Class E sold twice as many sweets as Class D and Class F sold
34 as many sweets as Class E, the average number of sweets the 3 classes had left was 44. How many sweets did Class D and Class F sell altogether?
Class D |
Class E |
Class F |
1x2 |
2x2 |
|
|
4x1 |
3x1 |
2 u |
4 u |
3 u |
Class D : Class E : Class F
2 : 4 : 3
Total number of sweets that the 3 classes had at first
= 3 x 227
= 681
Number of sweets that the 3 classes left
= 3 x 44
= 132
Number of sweets that were sold by 3 classes
= 681 - 132
= 549
2 u + 4 u + 3 u = 549
9 u = 549
1 u = 549 ÷ 9 = 61
Total number of sweets sold by Class D and Class F
= 2 u + 3 u
= 5 u
= 5 x 61
= 305
Answer(s): 305