Aunt Jen made 70 less muffins than cookies. After she gave 0.9 of the muffins and
25 of the cookies to Gillian, she was left with 62 less muffins than cookies. How many cookies did she make?
| |
Muffins |
Cookies |
Comparing muffins
and cookies at first |
|
70 more |
Before |
10 u |
5x2 + 70 =
10 u + 70 |
Change |
- 9 u |
- 2x2 - 28 =
- 4 u - 28
|
After |
1 u |
3x2 + 42 =
6 u + 42 |
Comparing muffins
and cookies in the end |
|
62 more |
0.9 =
910 25 x 70 = 28
Number of cookies that Aunt Jen gave to Gillian = 4 u + 28
If Aunt Jen made another 62 muffins in the end, the number of muffins and cookies in the end would be the same.
6 u + 42 = 1 u + 62
6 u - 1 u = 62 - 42
5 u = 20
1 u = 20 ÷ 5 = 4
Number of cookies that Aunt Jen made
= 10 u + 70
= 10 x 4 + 70
= 40 + 70
= 110
Answer(s): 110
