At first, Seth had 20 mini cupcakes and Tim had 6 times as many mini cupcakes as Seth. After they each received an equal number of mini cupcakes from their best friend, Tim had thrice as many mini cupcakes as Seth. How many mini cupcakes did their best friend give to both of them altogether?
| |
Seth |
Tim |
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
