At first, Zane had 24 sweets and Liam had 6 times as many sweets as Zane. After they each received an equal number of sweets from their buddy, Liam had thrice as many sweets as Zane. How many sweets did their buddy give to both of them altogether?
| |
Zane |
Liam |
Difference |
| Before |
1x2 =
2 u |
6x2 =
12 u |
5x2 =
10 u |
| Change |
+ 3 u |
+ 3 u |
|
| After |
1x5 =
5 u |
3x5 =
15 u |
2x5 =
10 u |
Since both received an equal number of sweets, the difference in the number of sweets remains unchanged. LCM of 5 and 2 is 10.
2 u = 24
1 u = 24 ÷ 2 = 12
Number of sweets that each received
= 5 u - 2 u
= 3 u
Number of sweets that both of them received altogether
= 2 x 3 u
= 6 u
= 6 x 12
= 72
Answer(s): 72
