Aunt Jade made 60 more cupcakes than croissants. After she gave 0.9 of the cupcakes and
35 of the croissants to Hazel, she was left with 48 more cupcakes than croissants. How many cupcakes did she make?
|
Cupcakes |
Croissants |
Comparing cupcakes and croissants at first |
|
60 more |
Before |
10 u |
5x2 + 60 = 10 u + 60 |
Change |
- 9 u |
- 3x2 - 36 = - 6 u - 36
|
After |
1 u |
2x2 + 24 = 4 u + 24 |
Comparing cupcakes and croissants in the end |
|
48 more |
0.9 =
910 35 x 60 = 36
Number of croissants that Aunt Jade gave to Hazel = 6 u + 36
If Aunt Jade made another 48 cupcakes in the end, the number of cupcakes and croissants in the end would be the same.
4 u + 24 = 1 u + 48
4 u - 1 u = 48 - 24
3 u = 24
1 u = 24 ÷ 3 = 8
Number of cupcakes that Aunt Jade made
= 10 u
= 10 x 8
= 80
Answer(s): 80