Andy bought some pastries. He bought some muffins with $8.30 more than half his money. He then bought some shortbreads with $8.40 less than half of his remaining money. He then had $10.80 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $8.30 |
1 u - $8.30 |
| |
Shortbreads |
Left |
| |
1 p - $8.40 |
1 p + $8.40 |
| |
|
$10.80 |
Working backwards.
Amount that Andy had left = 1 p + 8.40
1 p + 8.40 = 10.80
1 p = 10.80 - 8.40 = 2.40
Remaining amount after he bought some muffins
= 2 p
= 2 x 2.40
= $4.80
Remaining amount after he bought some muffins = 1 u - 8.30
1 u - 8.30 = 4.80
1 u = 4.80 + 8.30
1 u = 13.10
Amount that Andy spent on some muffins
= 1 u + 8.30
= 13.10 + 8.30
= $21.40
Answer(s): $21.40
