Aunt Tina made 40 more shortbreads than cupcakes. After she gave 0.9 of the shortbreads and
25 of the cupcakes to Xuan, she was left with 124 more shortbreads than cupcakes. How many shortbreads did she make?
|
Shortbreads |
Cupcakes |
Comparing shortbreads and cupcakes at first |
|
40 more |
Before |
10 u |
5x2 + 40 = 10 u + 40 |
Change |
- 9 u |
- 2x2 - 16 = - 4 u - 16
|
After |
1 u |
3x2 + 24 = 6 u + 24 |
Comparing shortbreads and cupcakes in the end |
|
124 more |
0.9 =
910 25 x 40 = 16
Number of cupcakes that Aunt Tina gave to Xuan = 4 u + 16
If Aunt Tina made another 124 shortbreads in the end, the number of shortbreads and cupcakes in the end would be the same.
6 u + 24 = 1 u + 124
6 u - 1 u = 124 - 24
5 u = 100
1 u = 100 ÷ 5 = 20
Number of shortbreads that Aunt Tina made
= 10 u
= 10 x 20
= 200
Answer(s): 200