Aunt Hazel made 75 more cupcakes than scones. After she gave 0.9 of the cupcakes and
25 of the scones to Raeann, she was left with 70 more cupcakes than scones. How many cupcakes did she make?
| |
Cupcakes |
Scones |
Comparing cupcakes
and scones at first |
|
75 more |
Before |
10 u |
5x2 + 75 =
10 u + 75 |
Change |
- 9 u |
- 2x2 - 30 =
- 4 u - 30
|
After |
1 u |
3x2 + 45 =
6 u + 45 |
Comparing cupcakes
and scones in the end |
|
70 more |
0.9 =
910 25 x 75 = 30
Number of scones that Aunt Hazel gave to Raeann = 4 u + 30
If Aunt Hazel made another 70 cupcakes in the end, the number of cupcakes and scones in the end would be the same.
6 u + 45 = 1 u + 70
6 u - 1 u = 70 - 45
5 u = 25
1 u = 25 ÷ 5 = 5
Number of cupcakes that Aunt Hazel made
= 10 u
= 10 x 5
= 50
Answer(s): 50
