Ryan bought some pastries. He bought some scones with $7.50 more than half his money. He then bought some shortbreads with $1.10 less than half of his remaining money. He then had $8.70 left. How much did he pay for the scones?
| Scones |
Remaining amount |
| 1 u + $7.50 |
1 u - $7.50 |
| |
Shortbreads |
Left |
| |
1 p - $1.10 |
1 p + $1.10 |
| |
|
$8.70 |
Working backwards.
Amount that Ryan had left = 1 p + 1.10
1 p + 1.10 = 8.70
1 p = 8.70 - 1.10 = 7.60
Remaining amount after he bought some scones
= 2 p
= 2 x 7.60
= $15.20
Remaining amount after he bought some scones = 1 u - 7.50
1 u - 7.50 = 15.20
1 u = 15.20 + 7.50
1 u = 22.70
Amount that Ryan spent on some scones
= 1 u + 7.50
= 22.70 + 7.50
= $30.20
Answer(s): $30.20
