Paul had 60% fewer caramel apples than Elijah. After Elijah gave 260 caramel apples to Paul, Paul had
45 as many caramel apples as Elijah. How many caramel apples did each of them have in the end?
- Elijah
- Paul
|
Paul |
Elijah |
Total |
Before |
2x9 = 18 u |
5x9 = 45 u |
7x9 = 63 u |
Change |
+ 260 |
- 260 |
|
After |
4x7 = 28 u |
5x7 = 35 u |
9x7 = 63 u |
Number of caramel apples that Paul 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 9 and 7 is 63.
Number of caramel apples that Elijah gave to Paul
= 45 u - 35 u
= 10 u
10 u = 260
1 u = 260 ÷ 10 = 26
Number of caramel apples that Paul had in the end
= 28 u
= 28 x 26
= 728
Number of caramel apples that Elijah had in the end
= 35 u
= 35 x 26
= 910
Answer(s): (a) 728; (b) 910