Class M, N and P were given some candy canes to sell for their charity drive. The average number of candy canes the 3 classes had at first was 228. After Class N sold thrice 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 53. How many candy canes did Class M and Class P sell altogether?
Class M |
Class N |
Class P |
1x4 |
3x4 |
|
|
4x3 |
3x3 |
4 u |
12 u |
9 u |
Class M : Class N : Class P
4 : 12 : 9
Total number of candy canes that the 3 classes had at first
= 3 x 228
= 684
Number of candy canes that the 3 classes left
= 3 x 53
= 159
Number of candy canes that were sold by 3 classes
= 684 - 159
= 525
4 u + 12 u + 9 u = 525
25 u = 525
1 u = 525 ÷ 25 = 21
Total number of candy canes sold by Class M and Class P
= 4 u + 9 u
= 13 u
= 13 x 21
= 273
Answer(s): 273