Aunt Sarah made 45 less scones than tarts. After she gave 0.9 of the scones and
25 of the tarts to Cathy, she was left with 107 less scones than tarts. How many tarts did she make?
| |
Scones |
Tarts |
Comparing scones
and tarts at first |
|
45 more |
Before |
10 u |
5x2 + 45 =
10 u + 45 |
Change |
- 9 u |
- 2x2 - 18 =
- 4 u - 18
|
After |
1 u |
3x2 + 27 =
6 u + 27 |
Comparing scones
and tarts in the end |
|
107 more |
0.9 =
910 25 x 45 = 18
Number of tarts that Aunt Sarah gave to Cathy = 4 u + 18
If Aunt Sarah made another 107 scones in the end, the number of scones and tarts in the end would be the same.
6 u + 27 = 1 u + 107
6 u - 1 u = 107 - 27
5 u = 80
1 u = 80 ÷ 5 = 16
Number of tarts that Aunt Sarah made
= 10 u + 45
= 10 x 16 + 45
= 160 + 45
= 205
Answer(s): 205
