Aunt Jane made 85 more muffins than tarts. After she gave 0.9 of the muffins and
25 of the tarts to Betty, she was left with 151 more muffins than tarts. How many muffins did she make?
|
Muffins |
Tarts |
Comparing muffins and tarts at first |
|
85 more |
Before |
10 u |
5x2 + 85 = 10 u + 85 |
Change |
- 9 u |
- 2x2 - 34 = - 4 u - 34
|
After |
1 u |
3x2 + 51 = 6 u + 51 |
Comparing muffins and tarts in the end |
|
151 more |
0.9 =
910 25 x 85 = 34
Number of tarts that Aunt Jane gave to Betty = 4 u + 34
If Aunt Jane made another 151 muffins in the end, the number of muffins and tarts in the end would be the same.
6 u + 51 = 1 u + 151
6 u - 1 u = 151 - 51
5 u = 100
1 u = 100 ÷ 5 = 20
Number of muffins that Aunt Jane made
= 10 u
= 10 x 20
= 200
Answer(s): 200