Fred bought some pastries. He bought some cupcakes with $5.50 more than half his money. He then bought some wafers with $1.50 less than half of his remaining money. He then had $9.20 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $5.50 |
1 u - $5.50 |
| |
Wafers |
Left |
| |
1 p - $1.50 |
1 p + $1.50 |
| |
|
$9.20 |
Working backwards.
Amount that Fred had left = 1 p + 1.50
1 p + 1.50 = 9.20
1 p = 9.20 - 1.50 = 7.70
Remaining amount after he bought some cupcakes
= 2 p
= 2 x 7.70
= $15.40
Remaining amount after he bought some cupcakes = 1 u - 5.50
1 u - 5.50 = 15.40
1 u = 15.40 + 5.50
1 u = 20.90
Amount that Fred spent on some cupcakes
= 1 u + 5.50
= 20.90 + 5.50
= $26.40
Answer(s): $26.40
