Warren bought some pastries. He bought some tarts with $8.30 more than half his money. He then bought some macarons with $1.50 less than half of his remaining money. He then had $7.10 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $8.30 |
1 u - $8.30 |
| |
Macarons |
Left |
| |
1 p - $1.50 |
1 p + $1.50 |
| |
|
$7.10 |
Working backwards.
Amount that Warren had left = 1 p + 1.50
1 p + 1.50 = 7.10
1 p = 7.10 - 1.50 = 5.60
Remaining amount after he bought some tarts
= 2 p
= 2 x 5.60
= $11.20
Remaining amount after he bought some tarts = 1 u - 8.30
1 u - 8.30 = 11.20
1 u = 11.20 + 8.30
1 u = 19.50
Amount that Warren spent on some tarts
= 1 u + 8.30
= 19.50 + 8.30
= $27.80
Answer(s): $27.80
