Aunt Pamela made 80 less scones than tarts. After she gave 0.9 of the scones and
25 of the tarts to Vanessa, she was left with 128 less scones than tarts. How many tarts did she make?
|
Scones |
Tarts |
Comparing scones and tarts at first |
|
80 more |
Before |
10 u |
5x2 + 80 = 10 u + 80 |
Change |
- 9 u |
- 2x2 - 32 = - 4 u - 32
|
After |
1 u |
3x2 + 48 = 6 u + 48 |
Comparing scones and tarts in the end |
|
128 more |
0.9 =
910 25 x 80 = 32
Number of tarts that Aunt Pamela gave to Vanessa = 4 u + 32
If Aunt Pamela made another 128 scones in the end, the number of scones and tarts in the end would be the same.
6 u + 48 = 1 u + 128
6 u - 1 u = 128 - 48
5 u = 80
1 u = 80 ÷ 5 = 16
Number of tarts that Aunt Pamela made
= 10 u + 80
= 10 x 16 + 80
= 160 + 80
= 240
Answer(s): 240