Cody bought some pastries. He bought some shortbreads with $6.50 more than half his money. He then bought some macarons with $4.50 less than half of his remaining money. He then had $8.10 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $6.50 |
1 u - $6.50 |
| |
Macarons |
Left |
| |
1 p - $4.50 |
1 p + $4.50 |
| |
|
$8.10 |
Working backwards.
Amount that Cody had left = 1 p + 4.50
1 p + 4.50 = 8.10
1 p = 8.10 - 4.50 = 3.60
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 3.60
= $7.20
Remaining amount after he bought some shortbreads = 1 u - 6.50
1 u - 6.50 = 7.20
1 u = 7.20 + 6.50
1 u = 13.70
Amount that Cody spent on some shortbreads
= 1 u + 6.50
= 13.70 + 6.50
= $20.20
Answer(s): $20.20
