Aunt Tina made 40 less wafers than shortbreads. After she gave 0.7 of the wafers and
25 of the shortbreads to Tiffany, she was left with 45 less wafers than shortbreads. How many shortbreads did she make?
| |
Wafers |
Shortbreads |
Comparing wafers
and shortbreads at first |
|
40 more |
Before |
10 u |
5x2 + 40 =
10 u + 40 |
Change |
- 7 u |
- 2x2 - 16 =
- 4 u - 16
|
After |
3 u |
3x2 + 24 =
6 u + 24 |
Comparing wafers
and shortbreads in the end |
|
45 more |
0.7 =
710 25 x 40 = 16
Number of shortbreads that Aunt Tina gave to Tiffany = 4 u + 16
If Aunt Tina made another 45 wafers in the end, the number of wafers and shortbreads in the end would be the same.
6 u + 24 = 3 u + 45
6 u - 3 u = 45 - 24
3 u = 21
1 u = 21 ÷ 3 = 7
Number of shortbreads that Aunt Tina made
= 10 u + 40
= 10 x 7 + 40
= 70 + 40
= 110
Answer(s): 110
