Aunt Tina made 85 more shortbreads than cupcakes. After she gave 0.9 of the shortbreads and
25 of the cupcakes to Risa, she was left with 96 more shortbreads than cupcakes. How many shortbreads did she make?
|
Shortbreads |
Cupcakes |
Comparing shortbreads and cupcakes at first |
|
85 more |
Before |
10 u |
5x2 + 85 = 10 u + 85 |
Change |
- 9 u |
- 2x2 - 34 = - 4 u - 34
|
After |
1 u |
3x2 + 51 = 6 u + 51 |
Comparing shortbreads and cupcakes in the end |
|
96 more |
0.9 =
910 25 x 85 = 34
Number of cupcakes that Aunt Tina gave to Risa = 4 u + 34
If Aunt Tina made another 96 shortbreads in the end, the number of shortbreads and cupcakes in the end would be the same.
6 u + 51 = 1 u + 96
6 u - 1 u = 96 - 51
5 u = 45
1 u = 45 ÷ 5 = 9
Number of shortbreads that Aunt Tina made
= 10 u
= 10 x 9
= 90
Answer(s): 90