Carl had 60% fewer caramel apples than Brandon. After Brandon gave 184 caramel apples to Carl, Carl had
23 as many caramel apples as Brandon. How many caramel apples did each of them have in the end?
- Brandon
- Carl
|
Carl |
Brandon |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u |
7x5 = 35 u |
Change |
+ 184 |
- 184 |
|
After |
2x7 = 14 u |
3x7 = 21 u |
5x7 = 35 u |
Number of caramel apples that Carl had at first in percentage
= 100% - 60%
= 40%
40% =
40100 =
25 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 7 is 35.
Number of caramel apples that Brandon gave to Carl
= 25 u - 21 u
= 4 u
4 u = 184
1 u = 184 ÷ 4 = 46
Number of caramel apples that Carl had in the end
= 14 u
= 14 x 46
= 644
Number of caramel apples that Brandon had in the end
= 21 u
= 21 x 46
= 966
Answer(s): (a) 644; (b) 966