Aunt Zara made 65 more cookies than cupcakes. After she gave 0.9 of the cookies and
35 of the cupcakes to Emma, she was left with 44 more cookies than cupcakes. How many cookies did she make?
|
Cookies |
Cupcakes |
Comparing cookies and cupcakes at first |
|
65 more |
Before |
10 u |
5x2 + 65 = 10 u + 65 |
Change |
- 9 u |
- 3x2 - 39 = - 6 u - 39
|
After |
1 u |
2x2 + 26 = 4 u + 26 |
Comparing cookies and cupcakes in the end |
|
44 more |
0.9 =
910 35 x 65 = 39
Number of cupcakes that Aunt Zara gave to Emma = 6 u + 39
If Aunt Zara made another 44 cookies in the end, the number of cookies and cupcakes in the end would be the same.
4 u + 26 = 1 u + 44
4 u - 1 u = 44 - 26
3 u = 18
1 u = 18 ÷ 3 = 6
Number of cookies that Aunt Zara made
= 10 u
= 10 x 6
= 60
Answer(s): 60