At first, Fabian had 18 mini cupcakes and Tim had 6 times as many mini cupcakes as Fabian. After they each received an equal number of mini cupcakes from their buddy, Tim had four times as many mini cupcakes as Fabian. How many mini cupcakes did their buddy give to both of them altogether?
| |
Fabian |
Tim |
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 mini cupcakes, the difference in the number of mini cupcakes remains unchanged. LCM of 5 and 3 is 15.
3 u = 18
1 u = 18 ÷ 3 = 6
Number of mini cupcakes that each received
= 5 u - 3 u
= 2 u
Number of mini cupcakes that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 6
= 24
Answer(s): 24
