Aunt Shiyun made 55 less tarts than cupcakes. After she gave 0.9 of the tarts and
25 of the cupcakes to Risa, she was left with 98 less tarts than cupcakes. How many cupcakes did she make?
| |
Tarts |
Cupcakes |
Comparing tarts
and cupcakes at first |
|
55 more |
Before |
10 u |
5x2 + 55 =
10 u + 55 |
Change |
- 9 u |
- 2x2 - 22 =
- 4 u - 22
|
After |
1 u |
3x2 + 33 =
6 u + 33 |
Comparing tarts
and cupcakes in the end |
|
98 more |
0.9 =
910 25 x 55 = 22
Number of cupcakes that Aunt Shiyun gave to Risa = 4 u + 22
If Aunt Shiyun made another 98 tarts in the end, the number of tarts and cupcakes in the end would be the same.
6 u + 33 = 1 u + 98
6 u - 1 u = 98 - 33
5 u = 65
1 u = 65 ÷ 5 = 13
Number of cupcakes that Aunt Shiyun made
= 10 u + 55
= 10 x 13 + 55
= 130 + 55
= 185
Answer(s): 185
