Class M, N and P were given some candy canes to sell for their donation drive. The average number of candy canes the 3 classes had at first was 233. After Class N sold twice as many candy canes as Class M and Class P sold
34 as many candy canes as Class N, the average number of candy canes the 3 classes had left was 59. How many candy canes did Class M and Class P sell altogether?
Class M |
Class N |
Class P |
1x2 |
2x2 |
|
|
4x1 |
3x1 |
2 u |
4 u |
3 u |
Class M : Class N : Class P
2 : 4 : 3
Total number of candy canes that the 3 classes had at first
= 3 x 233
= 699
Number of candy canes that the 3 classes left
= 3 x 59
= 177
Number of candy canes that were sold by 3 classes
= 699 - 177
= 522
2 u + 4 u + 3 u = 522
9 u = 522
1 u = 522 ÷ 9 = 58
Total number of candy canes sold by Class M and Class P
= 2 u + 3 u
= 5 u
= 5 x 58
= 290
Answer(s): 290