David bought some pastries. He bought some tarts with $8.70 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 tarts?
| Tarts |
Remaining amount |
| 1 u + $8.70 |
1 u - $8.70 |
| |
Wafers |
Left |
| |
1 p - $6.50 |
1 p + $6.50 |
| |
|
$14.60 |
Working backwards.
Amount that David 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 tarts
= 2 p
= 2 x 8.10
= $16.20
Remaining amount after he bought some tarts = 1 u - 8.70
1 u - 8.70 = 16.20
1 u = 16.20 + 8.70
1 u = 24.90
Amount that David spent on some tarts
= 1 u + 8.70
= 24.90 + 8.70
= $33.60
Answer(s): $33.60
