Aunt Esther made 95 more muffins than cupcakes. After she gave 0.9 of the muffins and
35 of the cupcakes to Gwen, she was left with 86 more muffins than cupcakes. How many muffins did she make?
| |
Muffins |
Cupcakes |
Comparing muffins
and cupcakes at first |
|
95 more |
Before |
10 u |
5x2 + 95 =
10 u + 95 |
Change |
- 9 u |
- 3x2 - 57 =
- 6 u - 57
|
After |
1 u |
2x2 + 38 =
4 u + 38 |
Comparing muffins
and cupcakes in the end |
|
86 more |
0.9 =
910 35 x 95 = 57
Number of cupcakes that Aunt Esther gave to Gwen = 6 u + 57
If Aunt Esther made another 86 muffins in the end, the number of muffins and cupcakes in the end would be the same.
4 u + 38 = 1 u + 86
4 u - 1 u = 86 - 38
3 u = 48
1 u = 48 ÷ 3 = 16
Number of muffins that Aunt Esther made
= 10 u
= 10 x 16
= 160
Answer(s): 160
