Gabriel bought some pastries. He bought some croissants with $9.20 more than half his money. He then bought some wafers with $6.50 less than half of his remaining money. He then had $14.60 left. How much did he pay for the croissants?
| Croissants |
Remaining amount |
| 1 u + $9.20 |
1 u - $9.20 |
| |
Wafers |
Left |
| |
1 p - $6.50 |
1 p + $6.50 |
| |
|
$14.60 |
Working backwards.
Amount that Gabriel had left = 1 p + 6.50
1 p + 6.50 = 14.60
1 p = 14.60 - 6.50 = 8.10
Remaining amount after he bought some croissants
= 2 p
= 2 x 8.10
= $16.20
Remaining amount after he bought some croissants = 1 u - 9.20
1 u - 9.20 = 16.20
1 u = 16.20 + 9.20
1 u = 25.40
Amount that Gabriel spent on some croissants
= 1 u + 9.20
= 25.40 + 9.20
= $34.60
Answer(s): $34.60
