Aunt Emma made 55 less wafers than cupcakes. After she gave 0.7 of the wafers and
25 of the cupcakes to Winnie, she was left with 57 less wafers than cupcakes. How many cupcakes did she make?
| |
Wafers |
Cupcakes |
Comparing wafers
and cupcakes at first |
|
55 more |
Before |
10 u |
5x2 + 55 =
10 u + 55 |
Change |
- 7 u |
- 2x2 - 22 =
- 4 u - 22
|
After |
3 u |
3x2 + 33 =
6 u + 33 |
Comparing wafers
and cupcakes in the end |
|
57 more |
0.7 =
710 25 x 55 = 22
Number of cupcakes that Aunt Emma gave to Winnie = 4 u + 22
If Aunt Emma made another 57 wafers in the end, the number of wafers and cupcakes in the end would be the same.
6 u + 33 = 3 u + 57
6 u - 3 u = 57 - 33
3 u = 24
1 u = 24 ÷ 3 = 8
Number of cupcakes that Aunt Emma made
= 10 u + 55
= 10 x 8 + 55
= 80 + 55
= 135
Answer(s): 135
