Ahmad bought some pastries. He bought some muffins with $5.90 more than half his money. He then bought some scones with $4.20 less than half of his remaining money. He then had $9.40 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $5.90 |
1 u - $5.90 |
| |
Scones |
Left |
| |
1 p - $4.20 |
1 p + $4.20 |
| |
|
$9.40 |
Working backwards.
Amount that Ahmad had left = 1 p + 4.20
1 p + 4.20 = 9.40
1 p = 9.40 - 4.20 = 5.20
Remaining amount after he bought some muffins
= 2 p
= 2 x 5.20
= $10.40
Remaining amount after he bought some muffins = 1 u - 5.90
1 u - 5.90 = 10.40
1 u = 10.40 + 5.90
1 u = 16.30
Amount that Ahmad spent on some muffins
= 1 u + 5.90
= 16.30 + 5.90
= $22.20
Answer(s): $22.20
