Aunt Diana made 70 more tarts than shortbreads. After she gave 0.9 of the tarts and
25 of the shortbreads to Fiona, she was left with 62 more tarts than shortbreads. How many tarts did she make?
| |
Tarts |
Shortbreads |
Comparing tarts
and shortbreads at first |
|
70 more |
Before |
10 u |
5x2 + 70 =
10 u + 70 |
Change |
- 9 u |
- 2x2 - 28 =
- 4 u - 28
|
After |
1 u |
3x2 + 42 =
6 u + 42 |
Comparing tarts
and shortbreads in the end |
|
62 more |
0.9 =
910 25 x 70 = 28
Number of shortbreads that Aunt Diana gave to Fiona = 4 u + 28
If Aunt Diana made another 62 tarts in the end, the number of tarts and shortbreads in the end would be the same.
6 u + 42 = 1 u + 62
6 u - 1 u = 62 - 42
5 u = 20
1 u = 20 ÷ 5 = 4
Number of tarts that Aunt Diana made
= 10 u
= 10 x 4
= 40
Answer(s): 40
