George bought some pastries. He bought some wafers with $5.10 more than half his money. He then bought some macarons with $1.80 less than half of his remaining money. He then had $9.60 left. How much did he pay for the wafers?
| Wafers |
Remaining amount |
| 1 u + $5.10 |
1 u - $5.10 |
| |
Macarons |
Left |
| |
1 p - $1.80 |
1 p + $1.80 |
| |
|
$9.60 |
Working backwards.
Amount that George had left = 1 p + 1.80
1 p + 1.80 = 9.60
1 p = 9.60 - 1.80 = 7.80
Remaining amount after he bought some wafers
= 2 p
= 2 x 7.80
= $15.60
Remaining amount after he bought some wafers = 1 u - 5.10
1 u - 5.10 = 15.60
1 u = 15.60 + 5.10
1 u = 20.70
Amount that George spent on some wafers
= 1 u + 5.10
= 20.70 + 5.10
= $25.80
Answer(s): $25.80
