Aunt Irene made 70 less puffs than cupcakes. After she gave 0.7 of the puffs and
25 of the cupcakes to Kylie, she was left with 57 less puffs than cupcakes. How many cupcakes did she make?
| |
Puffs |
Cupcakes |
Comparing puffs
and cupcakes at first |
|
70 more |
Before |
10 u |
5x2 + 70 =
10 u + 70 |
Change |
- 7 u |
- 2x2 - 28 =
- 4 u - 28
|
After |
3 u |
3x2 + 42 =
6 u + 42 |
Comparing puffs
and cupcakes in the end |
|
57 more |
0.7 =
710 25 x 70 = 28
Number of cupcakes that Aunt Irene gave to Kylie = 4 u + 28
If Aunt Irene made another 57 puffs in the end, the number of puffs and cupcakes in the end would be the same.
6 u + 42 = 3 u + 57
6 u - 3 u = 57 - 42
3 u = 15
1 u = 15 ÷ 3 = 5
Number of cupcakes that Aunt Irene made
= 10 u + 70
= 10 x 5 + 70
= 50 + 70
= 120
Answer(s): 120
