Michael bought some pastries. He bought some muffins with $7.20 more than half his money. He then bought some croissants with $7.60 less than half of his remaining money. He then had $15.20 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $7.20 |
1 u - $7.20 |
| |
Croissants |
Left |
| |
1 p - $7.60 |
1 p + $7.60 |
| |
|
$15.20 |
Working backwards.
Amount that Michael had left = 1 p + 7.60
1 p + 7.60 = 15.20
1 p = 15.20 - 7.60 = 7.60
Remaining amount after he bought some muffins
= 2 p
= 2 x 7.60
= $15.20
Remaining amount after he bought some muffins = 1 u - 7.20
1 u - 7.20 = 15.20
1 u = 15.20 + 7.20
1 u = 22.40
Amount that Michael spent on some muffins
= 1 u + 7.20
= 22.40 + 7.20
= $29.60
Answer(s): $29.60
