Class P, Q and R were given some mochi balls to sell for their donation drive. The average number of mochi balls the 3 classes had at first was 239. After Class Q sold four times as many mochi balls as Class P and Class R sold
23 as many mochi balls as Class Q, the average number of mochi balls the 3 classes had left was 55. How many mochi balls did Class P and Class R sell altogether?
Class P |
Class Q |
Class R |
1x3 |
4x3 |
|
|
3x4 |
2x4 |
3 u |
12 u |
8 u |
Class P : Class Q : Class R
3 : 12 : 8
Total number of mochi balls that the 3 classes had at first
= 3 x 239
= 717
Number of mochi balls that the 3 classes left
= 3 x 55
= 165
Number of mochi balls that were sold by 3 classes
= 717 - 165
= 552
3 u + 12 u + 8 u = 552
23 u = 552
1 u = 552 ÷ 23 = 24
Total number of mochi balls sold by Class P and Class R
= 3 u + 8 u
= 11 u
= 11 x 24
= 264
Answer(s): 264