Aunt Jane made 45 less cupcakes than cookies. After she gave 0.9 of the cupcakes and
25 of the cookies to Raeann, she was left with 92 less cupcakes than cookies. How many cookies did she make?
| |
Cupcakes |
Cookies |
Comparing cupcakes
and cookies at first |
|
45 more |
Before |
10 u |
5x2 + 45 =
10 u + 45 |
Change |
- 9 u |
- 2x2 - 18 =
- 4 u - 18
|
After |
1 u |
3x2 + 27 =
6 u + 27 |
Comparing cupcakes
and cookies in the end |
|
92 more |
0.9 =
910 25 x 45 = 18
Number of cookies that Aunt Jane gave to Raeann = 4 u + 18
If Aunt Jane made another 92 cupcakes in the end, the number of cupcakes and cookies in the end would be the same.
6 u + 27 = 1 u + 92
6 u - 1 u = 92 - 27
5 u = 65
1 u = 65 ÷ 5 = 13
Number of cookies that Aunt Jane made
= 10 u + 45
= 10 x 13 + 45
= 130 + 45
= 175
Answer(s): 175
