Sam bought some pastries. He bought some muffins with $8.30 more than half his money. He then bought some biscuits with $4.70 less than half of his remaining money. He then had $8.30 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $8.30 |
1 u - $8.30 |
| |
Biscuits |
Left |
| |
1 p - $4.70 |
1 p + $4.70 |
| |
|
$8.30 |
Working backwards.
Amount that Sam had left = 1 p + 4.70
1 p + 4.70 = 8.30
1 p = 8.30 - 4.70 = 3.60
Remaining amount after he bought some muffins
= 2 p
= 2 x 3.60
= $7.20
Remaining amount after he bought some muffins = 1 u - 8.30
1 u - 8.30 = 7.20
1 u = 7.20 + 8.30
1 u = 15.50
Amount that Sam spent on some muffins
= 1 u + 8.30
= 15.50 + 8.30
= $23.80
Answer(s): $23.80
