Fabian bought some pastries. He bought some macarons with $6.60 more than half his money. He then bought some croissants with $8.40 less than half of his remaining money. He then had $16.20 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $6.60 |
1 u - $6.60 |
| |
Croissants |
Left |
| |
1 p - $8.40 |
1 p + $8.40 |
| |
|
$16.20 |
Working backwards.
Amount that Fabian had left = 1 p + 8.40
1 p + 8.40 = 16.20
1 p = 16.20 - 8.40 = 7.80
Remaining amount after he bought some macarons
= 2 p
= 2 x 7.80
= $15.60
Remaining amount after he bought some macarons = 1 u - 6.60
1 u - 6.60 = 15.60
1 u = 15.60 + 6.60
1 u = 22.20
Amount that Fabian spent on some macarons
= 1 u + 6.60
= 22.20 + 6.60
= $28.80
Answer(s): $28.80
