At first, Warren had 18 mini cupcakes and David had 5 times as many mini cupcakes as Warren. After they each received an equal number of mini cupcakes from their nephew, David had four times as many mini cupcakes as Warren. How many mini cupcakes did their nephew give to both of them altogether?
| |
Warren |
David |
Difference |
| Before |
1x3 =
3 u |
5x3 =
15 u |
4x3 =
12 u |
| Change |
+ 1 u |
+ 1 u |
|
| After |
1x4 =
4 u |
4x4 =
16 u |
3x4 =
12 u |
Since both received an equal number of mini cupcakes, the difference in the number of mini cupcakes remains unchanged. LCM of 4 and 3 is 12.
3 u = 18
1 u = 18 ÷ 3 = 6
Number of mini cupcakes that each received
= 4 u - 3 u
= 1 u
Number of mini cupcakes that both of them received altogether
= 2 x 1 u
= 2 u
= 2 x 6
= 12
Answer(s): 12
