Aunt Fanny made 85 less macarons than cupcakes. After she gave 0.9 of the macarons and
35 of the cupcakes to Kimberly, she was left with 85 less macarons than cupcakes. How many cupcakes did she make?
| |
Macarons |
Cupcakes |
Comparing macarons
and cupcakes at first |
|
85 more |
Before |
10 u |
5x2 + 85 =
10 u + 85 |
Change |
- 9 u |
- 3x2 - 51 =
- 6 u - 51
|
After |
1 u |
2x2 + 34 =
4 u + 34 |
Comparing macarons
and cupcakes in the end |
|
85 more |
0.9 =
910 35 x 85 = 51
Number of cupcakes that Aunt Fanny gave to Kimberly = 6 u + 51
If Aunt Fanny made another 85 macarons in the end, the number of macarons and cupcakes in the end would be the same.
4 u + 34 = 1 u + 85
4 u - 1 u = 85 - 34
3 u = 51
1 u = 51 ÷ 3 = 17
Number of cupcakes that Aunt Fanny made
= 10 u + 85
= 10 x 17 + 85
= 170 + 85
= 255
Answer(s): 255
