Valen bought some pastries. He bought some cupcakes with $7.20 more than half his money. He then bought some croissants with $8.70 less than half of his remaining money. He then had $13.30 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $7.20 |
1 u - $7.20 |
| |
Croissants |
Left |
| |
1 p - $8.70 |
1 p + $8.70 |
| |
|
$13.30 |
Working backwards.
Amount that Valen had left = 1 p + 8.70
1 p + 8.70 = 13.30
1 p = 13.30 - 8.70 = 4.60
Remaining amount after he bought some cupcakes
= 2 p
= 2 x 4.60
= $9.20
Remaining amount after he bought some cupcakes = 1 u - 7.20
1 u - 7.20 = 9.20
1 u = 9.20 + 7.20
1 u = 16.40
Amount that Valen spent on some cupcakes
= 1 u + 7.20
= 16.40 + 7.20
= $23.60
Answer(s): $23.60
