The number of vanilla cupcakes Fabian baked was
57 of the total number of cupcakes. After baking another 56 vanilla cupcakes, the number of vanilla cupcakes became
67 of the total number of cupcakes. How many cupcakes did she bake at first?
|
Vanilla cupcakes |
Other cupcakes |
Total cupcakes |
Before |
5 u |
2 u |
7 u |
Change |
+ 56 |
|
|
After |
6x2 = 12 u |
1x2 = 2 u |
7x2 = 14 u |
The number of other cupcakes remains unchanged. Make the number of other cupcakes the same. LCM of 2 and 1 is 2.
Number of more vanilla cupcakes baked
= 12 u - 5 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Number of cupcakes that Fabian baked at first
= 7 u
= 7 x 8
= 56
Answer(s): 56