At first, George had 15 mini cupcakes and Warren had 6 times as many mini cupcakes as George. After they each received an equal number of mini cupcakes from their buddy, Warren had four times as many mini cupcakes as George. How many mini cupcakes did their buddy give to both of them altogether?
| |
George |
Warren |
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 = 15
1 u = 15 ÷ 3 = 5
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 5
= 20
Answer(s): 20
