Aunt Jade made 40 less cookies than cupcakes. After she gave 0.9 of the cookies and
35 of the cupcakes to Sabrina, she was left with 67 less cookies than cupcakes. How many cupcakes did she make?
| |
Cookies |
Cupcakes |
Comparing cookies
and cupcakes at first |
|
40 more |
Before |
10 u |
5x2 + 40 =
10 u + 40 |
Change |
- 9 u |
- 3x2 - 24 =
- 6 u - 24
|
After |
1 u |
2x2 + 16 =
4 u + 16 |
Comparing cookies
and cupcakes in the end |
|
67 more |
0.9 =
910 35 x 40 = 24
Number of cupcakes that Aunt Jade gave to Sabrina = 6 u + 24
If Aunt Jade made another 67 cookies in the end, the number of cookies and cupcakes in the end would be the same.
4 u + 16 = 1 u + 67
4 u - 1 u = 67 - 16
3 u = 51
1 u = 51 ÷ 3 = 17
Number of cupcakes that Aunt Jade made
= 10 u + 40
= 10 x 17 + 40
= 170 + 40
= 210
Answer(s): 210
