Eric had 80% fewer candy canes than Zane. After Zane gave 357 candy canes to Eric, Eric had
23 as many candy canes as Zane. How many candy canes did each of them have in the end?
- Zane
- Eric
|
Eric |
Zane |
Total |
Before |
1x5 = 5 u |
5x5 = 25 u |
6x5 = 30 u |
Change |
+ 357 |
- 357 |
|
After |
2x6 = 12 u |
3x6 = 18 u |
5x6 = 30 u |
Number of candy canes that Eric had at first in percentage
= 100% - 80%
= 20%
20% =
20100 =
15 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 5 and 6 is 30.
Number of candy canes that Zane gave to Eric
= 25 u - 18 u
= 7 u
7 u = 357
1 u = 357 ÷ 7 = 51
Number of candy canes that Eric had in the end
= 12 u
= 12 x 51
= 612
Number of candy canes that Zane had in the end
= 18 u
= 18 x 51
= 918
Answer(s): (a) 612; (b) 918