Will bought some pastries. He bought some cupcakes with $8.10 more than half his money. He then bought some cookies with $6.50 less than half of his remaining money. He then had $10.80 left. How much did he pay for the cupcakes?
| Cupcakes |
Remaining amount |
| 1 u + $8.10 |
1 u - $8.10 |
| |
Cookies |
Left |
| |
1 p - $6.50 |
1 p + $6.50 |
| |
|
$10.80 |
Working backwards.
Amount that Will had left = 1 p + 6.50
1 p + 6.50 = 10.80
1 p = 10.80 - 6.50 = 4.30
Remaining amount after he bought some cupcakes
= 2 p
= 2 x 4.30
= $8.60
Remaining amount after he bought some cupcakes = 1 u - 8.10
1 u - 8.10 = 8.60
1 u = 8.60 + 8.10
1 u = 16.70
Amount that Will spent on some cupcakes
= 1 u + 8.10
= 16.70 + 8.10
= $24.80
Answer(s): $24.80
