Class M, N and P were given some mochi balls to sell for their charity drive. The average number of mochi balls the 3 classes had at first was 233. After Class N sold twice as many mochi balls as Class M and Class P sold
45 as many mochi balls as Class N, the average number of mochi balls the 3 classes had left was 49. How many mochi balls did Class M and Class P sell altogether?
Class M |
Class N |
Class P |
1x5 |
2x5 |
|
|
5x2 |
4x2 |
5 u |
10 u |
8 u |
Class M : Class N : Class P
5 : 10 : 8
Total number of mochi balls that the 3 classes had at first
= 3 x 233
= 699
Number of mochi balls that the 3 classes left
= 3 x 49
= 147
Number of mochi balls that were sold by 3 classes
= 699 - 147
= 552
5 u + 10 u + 8 u = 552
23 u = 552
1 u = 552 ÷ 23 = 24
Total number of mochi balls sold by Class M and Class P
= 5 u + 8 u
= 13 u
= 13 x 24
= 312
Answer(s): 312