Peter bought some pastries. He bought some scones with $9.20 more than half his money. He then bought some macarons with $2.30 less than half of his remaining money. He then had $10.90 left. How much did he pay for the scones?
| Scones |
Remaining amount |
| 1 u + $9.20 |
1 u - $9.20 |
| |
Macarons |
Left |
| |
1 p - $2.30 |
1 p + $2.30 |
| |
|
$10.90 |
Working backwards.
Amount that Peter had left = 1 p + 2.30
1 p + 2.30 = 10.90
1 p = 10.90 - 2.30 = 8.60
Remaining amount after he bought some scones
= 2 p
= 2 x 8.60
= $17.20
Remaining amount after he bought some scones = 1 u - 9.20
1 u - 9.20 = 17.20
1 u = 17.20 + 9.20
1 u = 26.40
Amount that Peter spent on some scones
= 1 u + 9.20
= 26.40 + 9.20
= $35.60
Answer(s): $35.60
