Aunt Gabby made 65 more cupcakes than croissants. After she gave 0.7 of the cupcakes and
25 of the croissants to Kathy, she was left with 54 more cupcakes than croissants. How many cupcakes did she make?
|
Cupcakes |
Croissants |
Comparing cupcakes and croissants at first |
|
65 more |
Before |
10 u |
5x2 + 65 = 10 u + 65 |
Change |
- 7 u |
- 2x2 - 26 = - 4 u - 26
|
After |
3 u |
3x2 + 39 = 6 u + 39 |
Comparing cupcakes and croissants in the end |
|
54 more |
0.7 =
710 25 x 65 = 26
Number of croissants that Aunt Gabby gave to Kathy = 4 u + 26
If Aunt Gabby made another 54 cupcakes in the end, the number of cupcakes and croissants in the end would be the same.
6 u + 39 = 3 u + 54
6 u - 3 u = 54 - 39
3 u = 15
1 u = 15 ÷ 3 = 5
Number of cupcakes that Aunt Gabby made
= 10 u
= 10 x 5
= 50
Answer(s): 50