Aunt Jade made 70 less tarts than shortbreads. After she gave 0.9 of the tarts and
25 of the shortbreads to Yen, she was left with 67 less tarts than shortbreads. How many shortbreads 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 |
|
67 more |
0.9 =
910 25 x 70 = 28
Number of shortbreads that Aunt Jade gave to Yen = 4 u + 28
If Aunt Jade made another 67 tarts in the end, the number of tarts and shortbreads in the end would be the same.
6 u + 42 = 1 u + 67
6 u - 1 u = 67 - 42
5 u = 25
1 u = 25 ÷ 5 = 5
Number of shortbreads that Aunt Jade made
= 10 u + 70
= 10 x 5 + 70
= 50 + 70
= 120
Answer(s): 120
