Class D, E and F were given some mochi balls to sell for their donation drive. The average number of mochi balls the 3 classes had at first was 216. After Class E sold twice as many mochi balls as Class D and Class F sold
67 as many mochi balls as Class E, the average number of mochi balls the 3 classes had left was 51. How many mochi balls did Class D and Class F sell altogether?
Class D |
Class E |
Class F |
1x7 |
2x7 |
|
|
7x2 |
6x2 |
7 u |
14 u |
12 u |
Class D : Class E : Class F
7 : 14 : 12
Total number of mochi balls that the 3 classes had at first
= 3 x 216
= 648
Number of mochi balls that the 3 classes left
= 3 x 51
= 153
Number of mochi balls that were sold by 3 classes
= 648 - 153
= 495
7 u + 14 u + 12 u = 495
33 u = 495
1 u = 495 ÷ 33 = 15
Total number of mochi balls sold by Class D and Class F
= 7 u + 12 u
= 19 u
= 19 x 15
= 285
Answer(s): 285