Aunt Sarah made 60 more tarts than scones. After she gave 0.9 of the tarts and
35 of the scones to Nicole, she was left with 57 more tarts than scones. How many tarts did she make?
| |
Tarts |
Scones |
Comparing tarts
and scones at first |
|
60 more |
Before |
10 u |
5x2 + 60 =
10 u + 60 |
Change |
- 9 u |
- 3x2 - 36 =
- 6 u - 36
|
After |
1 u |
2x2 + 24 =
4 u + 24 |
Comparing tarts
and scones in the end |
|
57 more |
0.9 =
910 35 x 60 = 36
Number of scones that Aunt Sarah gave to Nicole = 6 u + 36
If Aunt Sarah made another 57 tarts in the end, the number of tarts and scones in the end would be the same.
4 u + 24 = 1 u + 57
4 u - 1 u = 57 - 24
3 u = 33
1 u = 33 ÷ 3 = 11
Number of tarts that Aunt Sarah made
= 10 u
= 10 x 11
= 110
Answer(s): 110
