Aunt Usha made 75 less shortbreads than muffins. After she gave 0.9 of the shortbreads and
25 of the muffins to Shannon, she was left with 110 less shortbreads than muffins. How many muffins did she make?
| |
Shortbreads |
Muffins |
Comparing shortbreads
and muffins at first |
|
75 more |
Before |
10 u |
5x2 + 75 =
10 u + 75 |
Change |
- 9 u |
- 2x2 - 30 =
- 4 u - 30
|
After |
1 u |
3x2 + 45 =
6 u + 45 |
Comparing shortbreads
and muffins in the end |
|
110 more |
0.9 =
910 25 x 75 = 30
Number of muffins that Aunt Usha gave to Shannon = 4 u + 30
If Aunt Usha made another 110 shortbreads in the end, the number of shortbreads and muffins in the end would be the same.
6 u + 45 = 1 u + 110
6 u - 1 u = 110 - 45
5 u = 65
1 u = 65 ÷ 5 = 13
Number of muffins that Aunt Usha made
= 10 u + 75
= 10 x 13 + 75
= 130 + 75
= 205
Answer(s): 205
