Jeremy bought some pastries. He bought some macarons with $6.70 more than half his money. He then bought some tarts with $7.90 less than half of his remaining money. He then had $10.50 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $6.70 |
1 u - $6.70 |
| |
Tarts |
Left |
| |
1 p - $7.90 |
1 p + $7.90 |
| |
|
$10.50 |
Working backwards.
Amount that Jeremy had left = 1 p + 7.90
1 p + 7.90 = 10.50
1 p = 10.50 - 7.90 = 2.60
Remaining amount after he bought some macarons
= 2 p
= 2 x 2.60
= $5.20
Remaining amount after he bought some macarons = 1 u - 6.70
1 u - 6.70 = 5.20
1 u = 5.20 + 6.70
1 u = 11.90
Amount that Jeremy spent on some macarons
= 1 u + 6.70
= 11.90 + 6.70
= $18.60
Answer(s): $18.60
