At first, Jeremy had 14 mini cupcakes and Owen had 6 times as many mini cupcakes as Jeremy. After they each received an equal number of mini cupcakes from their uncle, Owen had thrice as many mini cupcakes as Jeremy. How many mini cupcakes did their uncle give to both of them altogether?
| |
Jeremy |
Owen |
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 mini cupcakes, the difference in the number of mini cupcakes remains unchanged. LCM of 5 and 2 is 10.
2 u = 14
1 u = 14 ÷ 2 = 7
Number of mini cupcakes that each received
= 5 u - 2 u
= 3 u
Number of mini cupcakes that both of them received altogether
= 2 x 3 u
= 6 u
= 6 x 7
= 42
Answer(s): 42
