Aunt Winnie made 55 more cookies than tarts. After she gave 0.9 of the cookies and
35 of the tarts to Kimberly, she was left with 43 more cookies than tarts. How many cookies did she make?
| |
Cookies |
Tarts |
Comparing cookies
and tarts at first |
|
55 more |
Before |
10 u |
5x2 + 55 =
10 u + 55 |
Change |
- 9 u |
- 3x2 - 33 =
- 6 u - 33
|
After |
1 u |
2x2 + 22 =
4 u + 22 |
Comparing cookies
and tarts in the end |
|
43 more |
0.9 =
910 35 x 55 = 33
Number of tarts that Aunt Winnie gave to Kimberly = 6 u + 33
If Aunt Winnie made another 43 cookies in the end, the number of cookies and tarts in the end would be the same.
4 u + 22 = 1 u + 43
4 u - 1 u = 43 - 22
3 u = 21
1 u = 21 ÷ 3 = 7
Number of cookies that Aunt Winnie made
= 10 u
= 10 x 7
= 70
Answer(s): 70
