Aunt Abi made 40 less cookies than muffins. After she gave 0.9 of the cookies and
35 of the muffins to Wendy, she was left with 55 less cookies than muffins. How many muffins did she make?
| |
Cookies |
Muffins |
Comparing cookies
and muffins at first |
|
40 more |
Before |
10 u |
5x2 + 40 =
10 u + 40 |
Change |
- 9 u |
- 3x2 - 24 =
- 6 u - 24
|
After |
1 u |
2x2 + 16 =
4 u + 16 |
Comparing cookies
and muffins in the end |
|
55 more |
0.9 =
910 35 x 40 = 24
Number of muffins that Aunt Abi gave to Wendy = 6 u + 24
If Aunt Abi made another 55 cookies in the end, the number of cookies and muffins in the end would be the same.
4 u + 16 = 1 u + 55
4 u - 1 u = 55 - 16
3 u = 39
1 u = 39 ÷ 3 = 13
Number of muffins that Aunt Abi made
= 10 u + 40
= 10 x 13 + 40
= 130 + 40
= 170
Answer(s): 170
