At first, Cody had twice as many mini cupcakes as Tim. After they each gave away 20 mini cupcakes, Cody had 7 times as many mini cupcakes as Tim. How many mini cupcakes did they have altogether at first?
| |
Cody |
Tim |
Difference |
| Before |
2x6 =
12 u |
1x6 =
6 u |
1x6 =
6 u |
| Change |
- 20 |
- 20 |
|
| 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 = 20
1 u = 20 ÷ 5 = 4
Number of mini cupcakes that they had altogether at first
= 12 u + 6 u
= 18 u
= 18 x 4
= 72
Answer(s): 72
