Aunt Rachel made 60 less muffins than shortbreads. After she gave 0.7 of the muffins and
25 of the shortbreads to Shannon, she was left with 90 less muffins than shortbreads. How many shortbreads did she make?
| |
Muffins |
Shortbreads |
Comparing muffins
and shortbreads at first |
|
60 more |
Before |
10 u |
5x2 + 60 =
10 u + 60 |
Change |
- 7 u |
- 2x2 - 24 =
- 4 u - 24
|
After |
3 u |
3x2 + 36 =
6 u + 36 |
Comparing muffins
and shortbreads in the end |
|
90 more |
0.7 =
710 25 x 60 = 24
Number of shortbreads that Aunt Rachel gave to Shannon = 4 u + 24
If Aunt Rachel made another 90 muffins in the end, the number of muffins and shortbreads in the end would be the same.
6 u + 36 = 3 u + 90
6 u - 3 u = 90 - 36
3 u = 54
1 u = 54 ÷ 3 = 18
Number of shortbreads that Aunt Rachel made
= 10 u + 60
= 10 x 18 + 60
= 180 + 60
= 240
Answer(s): 240
