Aunt Rachel made 80 less cupcakes than shortbreads. After she gave 0.9 of the cupcakes and
35 of the shortbreads to Nicole, she was left with 65 less cupcakes than shortbreads. How many shortbreads did she make?
| |
Cupcakes |
Shortbreads |
Comparing cupcakes
and shortbreads at first |
|
80 more |
Before |
10 u |
5x2 + 80 =
10 u + 80 |
Change |
- 9 u |
- 3x2 - 48 =
- 6 u - 48
|
After |
1 u |
2x2 + 32 =
4 u + 32 |
Comparing cupcakes
and shortbreads in the end |
|
65 more |
0.9 =
910 35 x 80 = 48
Number of shortbreads that Aunt Rachel gave to Nicole = 6 u + 48
If Aunt Rachel made another 65 cupcakes in the end, the number of cupcakes and shortbreads in the end would be the same.
4 u + 32 = 1 u + 65
4 u - 1 u = 65 - 32
3 u = 33
1 u = 33 ÷ 3 = 11
Number of shortbreads that Aunt Rachel made
= 10 u + 80
= 10 x 11 + 80
= 110 + 80
= 190
Answer(s): 190
