Warren had 70% fewer candy canes than Perry. After Perry gave 288 candy canes to Warren, Warren had
34 as many candy canes as Perry. How many candy canes did each of them have in the end?
- Perry
- Warren
|
Warren |
Perry |
Total |
Before |
3x7 = 21 u |
10x7 = 70 u |
13x7 = 91 u |
Change |
+ 288 |
- 288 |
|
After |
3x13 = 39 u |
4x13 = 52 u |
7x13 = 91 u |
Number of candy canes that Warren had at first in percentage
= 100% - 70%
= 30%
30% =
30100 =
310 The total number of candy canes at first and in the end remains unchanged. Make the total number of candy canes the same. LCM of 7 and 13 is 91.
Number of candy canes that Perry gave to Warren
= 70 u - 52 u
= 18 u
18 u = 288
1 u = 288 ÷ 18 = 16
Number of candy canes that Warren had in the end
= 39 u
= 39 x 16
= 624
Number of candy canes that Perry had in the end
= 52 u
= 52 x 16
= 832
Answer(s): (a) 624; (b) 832