Aunt Gwen made 75 less tarts than muffins. After she gave 0.9 of the tarts and
35 of the muffins to Fiona, she was left with 81 less tarts than muffins. How many muffins did she make?
| |
Tarts |
Muffins |
Comparing tarts
and muffins at first |
|
75 more |
Before |
10 u |
5x2 + 75 =
10 u + 75 |
Change |
- 9 u |
- 3x2 - 45 =
- 6 u - 45
|
After |
1 u |
2x2 + 30 =
4 u + 30 |
Comparing tarts
and muffins in the end |
|
81 more |
0.9 =
910 35 x 75 = 45
Number of muffins that Aunt Gwen gave to Fiona = 6 u + 45
If Aunt Gwen made another 81 tarts in the end, the number of tarts and muffins in the end would be the same.
4 u + 30 = 1 u + 81
4 u - 1 u = 81 - 30
3 u = 51
1 u = 51 ÷ 3 = 17
Number of muffins that Aunt Gwen made
= 10 u + 75
= 10 x 17 + 75
= 170 + 75
= 245
Answer(s): 245
