At first, Riordan had 20 mini cupcakes and Asher had 6 times as many mini cupcakes as Riordan. After they each received an equal number of mini cupcakes from their niece, Asher had thrice as many mini cupcakes as Riordan. How many mini cupcakes did their niece give to both of them altogether?
| |
Riordan |
Asher |
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 = 20
1 u = 20 ÷ 2 = 10
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 10
= 60
Answer(s): 60
