Peter bought some pastries. He bought some tarts with $9.60 more than half his money. He then bought some macarons with $7.80 less than half of his remaining money. He then had $11.90 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $9.60 |
1 u - $9.60 |
| |
Macarons |
Left |
| |
1 p - $7.80 |
1 p + $7.80 |
| |
|
$11.90 |
Working backwards.
Amount that Peter had left = 1 p + 7.80
1 p + 7.80 = 11.90
1 p = 11.90 - 7.80 = 4.10
Remaining amount after he bought some tarts
= 2 p
= 2 x 4.10
= $8.20
Remaining amount after he bought some tarts = 1 u - 9.60
1 u - 9.60 = 8.20
1 u = 8.20 + 9.60
1 u = 17.80
Amount that Peter spent on some tarts
= 1 u + 9.60
= 17.80 + 9.60
= $27.40
Answer(s): $27.40
