Sean bought some pastries. He bought some cupcakes with $9.90 more than half his money. He then bought some croissants with $1.10 less than half of his remaining money. He then had $7.40 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $9.90 |
1 u - $9.90 |
| |
Croissants |
Left |
| |
1 p - $1.10 |
1 p + $1.10 |
| |
|
$7.40 |
Working backwards.
Amount that Sean had left = 1 p + 1.10
1 p + 1.10 = 7.40
1 p = 7.40 - 1.10 = 6.30
Remaining amount after he bought some cupcakes
= 2 p
= 2 x 6.30
= $12.60
Remaining amount after he bought some cupcakes = 1 u - 9.90
1 u - 9.90 = 12.60
1 u = 12.60 + 9.90
1 u = 22.50
Amount that Sean spent on some cupcakes
= 1 u + 9.90
= 22.50 + 9.90
= $32.40
Answer(s): $32.40
