Ryan bought some pastries. He bought some shortbreads with $8.90 more than half his money. He then bought some biscuits with $4.10 less than half of his remaining money. He then had $12.30 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $8.90 |
1 u - $8.90 |
| |
Biscuits |
Left |
| |
1 p - $4.10 |
1 p + $4.10 |
| |
|
$12.30 |
Working backwards.
Amount that Ryan had left = 1 p + 4.10
1 p + 4.10 = 12.30
1 p = 12.30 - 4.10 = 8.20
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 8.20
= $16.40
Remaining amount after he bought some shortbreads = 1 u - 8.90
1 u - 8.90 = 16.40
1 u = 16.40 + 8.90
1 u = 25.30
Amount that Ryan spent on some shortbreads
= 1 u + 8.90
= 25.30 + 8.90
= $34.20
Answer(s): $34.20
