Zane had 65% fewer candy canes than Oliver. After Oliver gave 192 candy canes to Zane, Zane had
34 as many candy canes as Oliver. How many candy canes did each of them have in the end?
- Oliver
- Zane
|
Zane |
Oliver |
Total |
Before |
7x7 = 49 u |
20x7 = 140 u |
27x7 = 189 u |
Change |
+ 192 |
- 192 |
|
After |
3x27 = 81 u |
4x27 = 108 u |
7x27 = 189 u |
Number of candy canes that Zane had at first in percentage
= 100% - 65%
= 35%
35% =
35100 =
720 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 27 is 189.
Number of candy canes that Oliver gave to Zane
= 140 u - 108 u
= 32 u
32 u = 192
1 u = 192 ÷ 32 = 6
Number of candy canes that Zane had in the end
= 81 u
= 81 x 6
= 486
Number of candy canes that Oliver had in the end
= 108 u
= 108 x 6
= 648
Answer(s): (a) 486; (b) 648