Aunt Gabby made 65 more muffins than shortbreads. After she gave 0.7 of the muffins and
25 of the shortbreads to Cathy, she was left with 87 more muffins than shortbreads. How many muffins did she make?
| |
Muffins |
Shortbreads |
Comparing muffins
and shortbreads at first |
|
65 more |
Before |
10 u |
5x2 + 65 =
10 u + 65 |
Change |
- 7 u |
- 2x2 - 26 =
- 4 u - 26
|
After |
3 u |
3x2 + 39 =
6 u + 39 |
Comparing muffins
and shortbreads in the end |
|
87 more |
0.7 =
710 25 x 65 = 26
Number of shortbreads that Aunt Gabby gave to Cathy = 4 u + 26
If Aunt Gabby made another 87 muffins in the end, the number of muffins and shortbreads in the end would be the same.
6 u + 39 = 3 u + 87
6 u - 3 u = 87 - 39
3 u = 48
1 u = 48 ÷ 3 = 16
Number of muffins that Aunt Gabby made
= 10 u
= 10 x 16
= 160
Answer(s): 160
