Aunt Nicole made 80 less scones than tarts. After she gave 0.7 of the scones and
25 of the tarts to Tina, she was left with 108 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 |
- 7 u |
- 2x2 - 32 = - 4 u - 32
|
After |
3 u |
3x2 + 48 = 6 u + 48 |
Comparing scones and tarts in the end |
|
108 more |
0.7 =
710 25 x 80 = 32
Number of tarts that Aunt Nicole gave to Tina = 4 u + 32
If Aunt Nicole made another 108 scones in the end, the number of scones and tarts in the end would be the same.
6 u + 48 = 3 u + 108
6 u - 3 u = 108 - 48
3 u = 60
1 u = 60 ÷ 3 = 20
Number of tarts that Aunt Nicole made
= 10 u + 80
= 10 x 20 + 80
= 200 + 80
= 280
Answer(s): 280