Lee bought some pastries. He bought some tarts with $7.70 more than half his money. He then bought some macarons with $7.70 less than half of his remaining money. He then had $13.30 left. How much did he pay for the tarts?
Tarts |
Remaining amount |
1 u + $7.70 |
1 u - $7.70 |
|
Macarons |
Left |
|
1 p - $7.70 |
1 p + $7.70 |
|
|
$13.30 |
Working backwards.
Amount that Lee had left = 1 p + 7.70
1 p + 7.70 = 13.30
1 p = 13.30 - 7.70 = 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 - 7.70
1 u - 7.70 = 11.20
1 u = 11.20 + 7.70
1 u = 18.90
Amount that Lee spent on some tarts
= 1 u + 7.70
= 18.90 + 7.70
= $26.60
Answer(s): $26.60