George bought some pastries. He bought some macarons with $7.40 more than half his money. He then bought some muffins with $6.90 less than half of his remaining money. He then had $15.10 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $7.40 |
1 u - $7.40 |
| |
Muffins |
Left |
| |
1 p - $6.90 |
1 p + $6.90 |
| |
|
$15.10 |
Working backwards.
Amount that George had left = 1 p + 6.90
1 p + 6.90 = 15.10
1 p = 15.10 - 6.90 = 8.20
Remaining amount after he bought some macarons
= 2 p
= 2 x 8.20
= $16.40
Remaining amount after he bought some macarons = 1 u - 7.40
1 u - 7.40 = 16.40
1 u = 16.40 + 7.40
1 u = 23.80
Amount that George spent on some macarons
= 1 u + 7.40
= 23.80 + 7.40
= $31.20
Answer(s): $31.20
