Nick bought some pastries. He bought some macarons with $5.50 more than half his money. He then bought some croissants with $8.70 less than half of his remaining money. He then had $17.30 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $5.50 |
1 u - $5.50 |
| |
Croissants |
Left |
| |
1 p - $8.70 |
1 p + $8.70 |
| |
|
$17.30 |
Working backwards.
Amount that Nick had left = 1 p + 8.70
1 p + 8.70 = 17.30
1 p = 17.30 - 8.70 = 8.60
Remaining amount after he bought some macarons
= 2 p
= 2 x 8.60
= $17.20
Remaining amount after he bought some macarons = 1 u - 5.50
1 u - 5.50 = 17.20
1 u = 17.20 + 5.50
1 u = 22.70
Amount that Nick spent on some macarons
= 1 u + 5.50
= 22.70 + 5.50
= $28.20
Answer(s): $28.20
