At first, Justin had 14 mini cupcakes and Albert had 6 times as many mini cupcakes as Justin. After they each received an equal number of mini cupcakes from their uncle, Albert had thrice as many mini cupcakes as Justin. How many mini cupcakes did their uncle give to both of them altogether?
| |
Justin |
Albert |
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
