At first, Zane had 30 caramel apples and Jeremy had 6 times as many caramel apples as Zane. After they each received an equal number of caramel apples from their auntie, Jeremy had four times as many caramel apples as Zane. How many caramel apples did their auntie give to both of them altogether?
| |
Zane |
Jeremy |
Difference |
| Before |
1x3 =
3 u |
6x3 =
18 u |
5x3 =
15 u |
| Change |
+ 2 u |
+ 2 u |
|
| After |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
Since both received an equal number of caramel apples, the difference in the number of caramel apples remains unchanged. LCM of 5 and 3 is 15.
3 u = 30
1 u = 30 ÷ 3 = 10
Number of caramel apples that each received
= 5 u - 3 u
= 2 u
Number of caramel apples that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 10
= 40
Answer(s): 40
