Carl bought some pastries. He bought some muffins with $5.50 more than half his money. He then bought some cupcakes with $3.70 less than half of his remaining money. He then had $9.60 left. How much did he pay for the muffins?
| Muffins |
Remaining amount |
| 1 u + $5.50 |
1 u - $5.50 |
| |
Cupcakes |
Left |
| |
1 p - $3.70 |
1 p + $3.70 |
| |
|
$9.60 |
Working backwards.
Amount that Carl had left = 1 p + 3.70
1 p + 3.70 = 9.60
1 p = 9.60 - 3.70 = 5.90
Remaining amount after he bought some muffins
= 2 p
= 2 x 5.90
= $11.80
Remaining amount after he bought some muffins = 1 u - 5.50
1 u - 5.50 = 11.80
1 u = 11.80 + 5.50
1 u = 17.30
Amount that Carl spent on some muffins
= 1 u + 5.50
= 17.30 + 5.50
= $22.80
Answer(s): $22.80
