Class S, T and U were given some mochi balls to sell for their fund-raising project. The average number of mochi balls the 3 classes had at first was 220. After Class T sold twice as many mochi balls as Class S and Class U sold
34 as many mochi balls as Class T, the average number of mochi balls the 3 classes had left was 49. How many mochi balls did Class S and Class U sell altogether?
Class S |
Class T |
Class U |
1x2 |
2x2 |
|
|
4x1 |
3x1 |
2 u |
4 u |
3 u |
Class S : Class T : Class U
2 : 4 : 3
Total number of mochi balls that the 3 classes had at first
= 3 x 220
= 660
Number of mochi balls that the 3 classes left
= 3 x 49
= 147
Number of mochi balls that were sold by 3 classes
= 660 - 147
= 513
2 u + 4 u + 3 u = 513
9 u = 513
1 u = 513 ÷ 9 = 57
Total number of mochi balls sold by Class S and Class U
= 2 u + 3 u
= 5 u
= 5 x 57
= 285
Answer(s): 285