Aunt Fanny made 90 less macarons than cupcakes. After she gave 0.9 of the macarons and
25 of the cupcakes to Vanessa, she was left with 99 less macarons than cupcakes. How many cupcakes did she make?
| |
Macarons |
Cupcakes |
Comparing macarons
and cupcakes at first |
|
90 more |
Before |
10 u |
5x2 + 90 =
10 u + 90 |
Change |
- 9 u |
- 2x2 - 36 =
- 4 u - 36
|
After |
1 u |
3x2 + 54 =
6 u + 54 |
Comparing macarons
and cupcakes in the end |
|
99 more |
0.9 =
910 25 x 90 = 36
Number of cupcakes that Aunt Fanny gave to Vanessa = 4 u + 36
If Aunt Fanny made another 99 macarons in the end, the number of macarons and cupcakes in the end would be the same.
6 u + 54 = 1 u + 99
6 u - 1 u = 99 - 54
5 u = 45
1 u = 45 ÷ 5 = 9
Number of cupcakes that Aunt Fanny made
= 10 u + 90
= 10 x 9 + 90
= 90 + 90
= 180
Answer(s): 180
