Jack bought some pastries. He bought some muffins with $9.10 more than half his money. He then bought some croissants with $1.30 less than half of his remaining money. He then had $8.10 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $9.10 |
1 u - $9.10 |
| |
Croissants |
Left |
| |
1 p - $1.30 |
1 p + $1.30 |
| |
|
$8.10 |
Working backwards.
Amount that Jack had left = 1 p + 1.30
1 p + 1.30 = 8.10
1 p = 8.10 - 1.30 = 6.80
Remaining amount after he bought some muffins
= 2 p
= 2 x 6.80
= $13.60
Remaining amount after he bought some muffins = 1 u - 9.10
1 u - 9.10 = 13.60
1 u = 13.60 + 9.10
1 u = 22.70
Amount that Jack spent on some muffins
= 1 u + 9.10
= 22.70 + 9.10
= $31.80
Answer(s): $31.80
