Aunt Raeann made 45 less scones than cupcakes. After she gave 0.9 of the scones and
25 of the cupcakes to Risa, she was left with 77 less scones than cupcakes. How many cupcakes did she make?
| |
Scones |
Cupcakes |
Comparing scones
and cupcakes 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 scones
and cupcakes in the end |
|
77 more |
0.9 =
910 25 x 45 = 18
Number of cupcakes that Aunt Raeann gave to Risa = 4 u + 18
If Aunt Raeann made another 77 scones in the end, the number of scones and cupcakes in the end would be the same.
6 u + 27 = 1 u + 77
6 u - 1 u = 77 - 27
5 u = 50
1 u = 50 ÷ 5 = 10
Number of cupcakes that Aunt Raeann made
= 10 u + 45
= 10 x 10 + 45
= 100 + 45
= 145
Answer(s): 145
