Aunt Fiona made 75 less scones than cupcakes. After she gave 0.9 of the scones and
35 of the cupcakes to Olivia, she was left with 48 less scones than cupcakes. How many cupcakes did she make?
| |
Scones |
Cupcakes |
Comparing scones
and cupcakes at first |
|
75 more |
Before |
10 u |
5x2 + 75 =
10 u + 75 |
Change |
- 9 u |
- 3x2 - 45 =
- 6 u - 45
|
After |
1 u |
2x2 + 30 =
4 u + 30 |
Comparing scones
and cupcakes in the end |
|
48 more |
0.9 =
910 35 x 75 = 45
Number of cupcakes that Aunt Fiona gave to Olivia = 6 u + 45
If Aunt Fiona made another 48 scones in the end, the number of scones and cupcakes in the end would be the same.
4 u + 30 = 1 u + 48
4 u - 1 u = 48 - 30
3 u = 18
1 u = 18 ÷ 3 = 6
Number of cupcakes that Aunt Fiona made
= 10 u + 75
= 10 x 6 + 75
= 60 + 75
= 135
Answer(s): 135
