Andy bought some pastries. He bought some muffins with $8.10 more than half his money. He then bought some wafers with $5.40 less than half of his remaining money. He then had $14.20 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $8.10 |
1 u - $8.10 |
| |
Wafers |
Left |
| |
1 p - $5.40 |
1 p + $5.40 |
| |
|
$14.20 |
Working backwards.
Amount that Andy had left = 1 p + 5.40
1 p + 5.40 = 14.20
1 p = 14.20 - 5.40 = 8.80
Remaining amount after he bought some muffins
= 2 p
= 2 x 8.80
= $17.60
Remaining amount after he bought some muffins = 1 u - 8.10
1 u - 8.10 = 17.60
1 u = 17.60 + 8.10
1 u = 25.70
Amount that Andy spent on some muffins
= 1 u + 8.10
= 25.70 + 8.10
= $33.80
Answer(s): $33.80
