Zane had 80% fewer caramel apples than Cody. After Cody gave 161 caramel apples to Zane, Zane had
23 as many caramel apples as Cody. How many caramel apples did each of them have in the end?
- Cody
- Zane
|
Zane |
Cody |
Total |
Before |
1x5 = 5 u |
5x5 = 25 u |
6x5 = 30 u |
Change |
+ 161 |
- 161 |
|
After |
2x6 = 12 u |
3x6 = 18 u |
5x6 = 30 u |
Number of caramel apples that Zane had at first in percentage
= 100% - 80%
= 20%
20% =
20100 =
15 The total number of caramel apples at first and in the end remains unchanged. Make the total number of caramel apples the same. LCM of 5 and 6 is 30.
Number of caramel apples that Cody gave to Zane
= 25 u - 18 u
= 7 u
7 u = 161
1 u = 161 ÷ 7 = 23
Number of caramel apples that Zane had in the end
= 12 u
= 12 x 23
= 276
Number of caramel apples that Cody had in the end
= 18 u
= 18 x 23
= 414
Answer(s): (a) 276; (b) 414