Harry bought some pastries. He bought some tarts with $8.30 more than half his money. He then bought some macarons with $8.70 less than half of his remaining money. He then had $16.10 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $8.30 |
1 u - $8.30 |
| |
Macarons |
Left |
| |
1 p - $8.70 |
1 p + $8.70 |
| |
|
$16.10 |
Working backwards.
Amount that Harry had left = 1 p + 8.70
1 p + 8.70 = 16.10
1 p = 16.10 - 8.70 = 7.40
Remaining amount after he bought some tarts
= 2 p
= 2 x 7.40
= $14.80
Remaining amount after he bought some tarts = 1 u - 8.30
1 u - 8.30 = 14.80
1 u = 14.80 + 8.30
1 u = 23.10
Amount that Harry spent on some tarts
= 1 u + 8.30
= 23.10 + 8.30
= $31.40
Answer(s): $31.40
