Aunt Joelle made 90 less cupcakes than muffins. After she gave 0.9 of the cupcakes and
35 of the muffins to Tiffany, she was left with 57 less cupcakes than muffins. How many muffins did she make?
| |
Cupcakes |
Muffins |
Comparing cupcakes
and muffins at first |
|
90 more |
Before |
10 u |
5x2 + 90 =
10 u + 90 |
Change |
- 9 u |
- 3x2 - 54 =
- 6 u - 54
|
After |
1 u |
2x2 + 36 =
4 u + 36 |
Comparing cupcakes
and muffins in the end |
|
57 more |
0.9 =
910 35 x 90 = 54
Number of muffins that Aunt Joelle gave to Tiffany = 6 u + 54
If Aunt Joelle made another 57 cupcakes in the end, the number of cupcakes and muffins in the end would be the same.
4 u + 36 = 1 u + 57
4 u - 1 u = 57 - 36
3 u = 21
1 u = 21 ÷ 3 = 7
Number of muffins that Aunt Joelle made
= 10 u + 90
= 10 x 7 + 90
= 70 + 90
= 160
Answer(s): 160
