Aunt Natalie made 55 less muffins than shortbreads. After she gave 0.7 of the muffins and
25 of the shortbreads to Kimberly, she was left with 78 less muffins than shortbreads. How many shortbreads did she make?
| |
Muffins |
Shortbreads |
Comparing muffins
and shortbreads at first |
|
55 more |
Before |
10 u |
5x2 + 55 =
10 u + 55 |
Change |
- 7 u |
- 2x2 - 22 =
- 4 u - 22
|
After |
3 u |
3x2 + 33 =
6 u + 33 |
Comparing muffins
and shortbreads in the end |
|
78 more |
0.7 =
710 25 x 55 = 22
Number of shortbreads that Aunt Natalie gave to Kimberly = 4 u + 22
If Aunt Natalie made another 78 muffins in the end, the number of muffins and shortbreads in the end would be the same.
6 u + 33 = 3 u + 78
6 u - 3 u = 78 - 33
3 u = 45
1 u = 45 ÷ 3 = 15
Number of shortbreads that Aunt Natalie made
= 10 u + 55
= 10 x 15 + 55
= 150 + 55
= 205
Answer(s): 205
