Aunt Winnie made 50 less cookies than cupcakes. After she gave 0.9 of the cookies and
25 of the cupcakes to Sarah, she was left with 85 less cookies than cupcakes. How many cupcakes did she make?
| |
Cookies |
Cupcakes |
Comparing cookies
and cupcakes at first |
|
50 more |
Before |
10 u |
5x2 + 50 =
10 u + 50 |
Change |
- 9 u |
- 2x2 - 20 =
- 4 u - 20
|
After |
1 u |
3x2 + 30 =
6 u + 30 |
Comparing cookies
and cupcakes in the end |
|
85 more |
0.9 =
910 25 x 50 = 20
Number of cupcakes that Aunt Winnie gave to Sarah = 4 u + 20
If Aunt Winnie made another 85 cookies in the end, the number of cookies and cupcakes in the end would be the same.
6 u + 30 = 1 u + 85
6 u - 1 u = 85 - 30
5 u = 55
1 u = 55 ÷ 5 = 11
Number of cupcakes that Aunt Winnie made
= 10 u + 50
= 10 x 11 + 50
= 110 + 50
= 160
Answer(s): 160
