Aunt Mary made 45 less muffins than shortbreads. After she gave 0.9 of the muffins and
25 of the shortbreads to Xylia, she was left with 62 less muffins than shortbreads. How many shortbreads did she make?
| |
Muffins |
Shortbreads |
Comparing muffins
and shortbreads at first |
|
45 more |
Before |
10 u |
5x2 + 45 =
10 u + 45 |
Change |
- 9 u |
- 2x2 - 18 =
- 4 u - 18
|
After |
1 u |
3x2 + 27 =
6 u + 27 |
Comparing muffins
and shortbreads in the end |
|
62 more |
0.9 =
910 25 x 45 = 18
Number of shortbreads that Aunt Mary gave to Xylia = 4 u + 18
If Aunt Mary made another 62 muffins in the end, the number of muffins and shortbreads in the end would be the same.
6 u + 27 = 1 u + 62
6 u - 1 u = 62 - 27
5 u = 35
1 u = 35 ÷ 5 = 7
Number of shortbreads that Aunt Mary made
= 10 u + 45
= 10 x 7 + 45
= 70 + 45
= 115
Answer(s): 115
