Aunt Gwen made 40 less shortbreads than muffins. After she gave 0.7 of the shortbreads and
25 of the muffins to Hazel, she was left with 66 less shortbreads than muffins. How many muffins did she make?
| |
Shortbreads |
Muffins |
Comparing shortbreads
and muffins at first |
|
40 more |
Before |
10 u |
5x2 + 40 =
10 u + 40 |
Change |
- 7 u |
- 2x2 - 16 =
- 4 u - 16
|
After |
3 u |
3x2 + 24 =
6 u + 24 |
Comparing shortbreads
and muffins in the end |
|
66 more |
0.7 =
710 25 x 40 = 16
Number of muffins that Aunt Gwen gave to Hazel = 4 u + 16
If Aunt Gwen made another 66 shortbreads in the end, the number of shortbreads and muffins in the end would be the same.
6 u + 24 = 3 u + 66
6 u - 3 u = 66 - 24
3 u = 42
1 u = 42 ÷ 3 = 14
Number of muffins that Aunt Gwen made
= 10 u + 40
= 10 x 14 + 40
= 140 + 40
= 180
Answer(s): 180
