Eric had 85% fewer caramel apples than Carl. After Carl gave 384 caramel apples to Eric, Eric had
34 as many caramel apples as Carl. How many caramel apples did each of them have in the end?
- Carl
- Eric
|
Eric |
Carl |
Total |
Before |
3x7 = 21 u |
20x7 = 140 u |
23x7 = 161 u |
Change |
+ 384 |
- 384 |
|
After |
3x23 = 69 u |
4x23 = 92 u |
7x23 = 161 u |
Number of caramel apples that Eric had at first in percentage
= 100% - 85%
= 15%
15% =
15100 =
320 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 7 and 23 is 161.
Number of caramel apples that Carl gave to Eric
= 140 u - 92 u
= 48 u
48 u = 384
1 u = 384 ÷ 48 = 8
Number of caramel apples that Eric had in the end
= 69 u
= 69 x 8
= 552
Number of caramel apples that Carl had in the end
= 92 u
= 92 x 8
= 736
Answer(s): (a) 552; (b) 736