Aunt Min made 80 more cookies than muffins. After she gave 0.9 of the cookies and
35 of the muffins to Sarah, she was left with 65 more cookies than muffins. How many cookies did she make?
|
Cookies |
Muffins |
Comparing cookies and muffins at first |
|
80 more |
Before |
10 u |
5x2 + 80 = 10 u + 80 |
Change |
- 9 u |
- 3x2 - 48 = - 6 u - 48
|
After |
1 u |
2x2 + 32 = 4 u + 32 |
Comparing cookies and muffins in the end |
|
65 more |
0.9 =
910 35 x 80 = 48
Number of muffins that Aunt Min gave to Sarah = 6 u + 48
If Aunt Min made another 65 cookies in the end, the number of cookies and muffins in the end would be the same.
4 u + 32 = 1 u + 65
4 u - 1 u = 65 - 32
3 u = 33
1 u = 33 ÷ 3 = 11
Number of cookies that Aunt Min made
= 10 u
= 10 x 11
= 110
Answer(s): 110