Jeremy bought some pastries. He bought some macarons with $5.20 more than half his money. He then bought some muffins with $5.40 less than half of his remaining money. He then had $11.60 left. How much did he pay for the macarons?
| Macarons |
Remaining amount |
| 1 u + $5.20 |
1 u - $5.20 |
| |
Muffins |
Left |
| |
1 p - $5.40 |
1 p + $5.40 |
| |
|
$11.60 |
Working backwards.
Amount that Jeremy had left = 1 p + 5.40
1 p + 5.40 = 11.60
1 p = 11.60 - 5.40 = 6.20
Remaining amount after he bought some macarons
= 2 p
= 2 x 6.20
= $12.40
Remaining amount after he bought some macarons = 1 u - 5.20
1 u - 5.20 = 12.40
1 u = 12.40 + 5.20
1 u = 17.60
Amount that Jeremy spent on some macarons
= 1 u + 5.20
= 17.60 + 5.20
= $22.80
Answer(s): $22.80
