Class Q, R and S 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 R sold thrice as many candy canes as Class Q and Class S sold
56 as many candy canes as Class R, the average number of candy canes the 3 classes had left was 51. How many candy canes did Class Q and Class S sell altogether?
Class Q |
Class R |
Class S |
1x2 |
3x2 |
|
|
6x1 |
5x1 |
2 u |
6 u |
5 u |
Class Q : Class R : Class S
2 : 6 : 5
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 51
= 153
Number of candy canes that were sold by 3 classes
= 699 - 153
= 546
2 u + 6 u + 5 u = 546
13 u = 546
1 u = 546 ÷ 13 = 42
Total number of candy canes sold by Class Q and Class S
= 2 u + 5 u
= 7 u
= 7 x 42
= 294
Answer(s): 294