At first, Archie had twice as many mini cupcakes as Caden. After they each gave away 15 mini cupcakes, Archie had 7 times as many mini cupcakes as Caden. How many mini cupcakes did they have altogether at first?
| |
Archie |
Caden |
Difference |
| Before |
2x6 =
12 u |
1x6 =
6 u |
1x6 =
6 u |
| Change |
- 15 |
- 15 |
|
| After |
7 u |
1 u |
6 u |
Since they both gave away the same number of mini cupcakes, their difference in the number of mini cupcakes remains the same. Make the difference in the number of mini cupcakes the same. LCM of 1 and 6 is 6.
Number of mini cupcakes that each gave away
= 12 u - 7 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Number of mini cupcakes that they had altogether at first
= 12 u + 6 u
= 18 u
= 18 x 3
= 54
Answer(s): 54
