Asher bought some pastries. He bought some shortbreads with $8.20 more than half his money. He then bought some macarons with $3.20 less than half of his remaining money. He then had $8.40 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $8.20 |
1 u - $8.20 |
| |
Macarons |
Left |
| |
1 p - $3.20 |
1 p + $3.20 |
| |
|
$8.40 |
Working backwards.
Amount that Asher had left = 1 p + 3.20
1 p + 3.20 = 8.40
1 p = 8.40 - 3.20 = 5.20
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 5.20
= $10.40
Remaining amount after he bought some shortbreads = 1 u - 8.20
1 u - 8.20 = 10.40
1 u = 10.40 + 8.20
1 u = 18.60
Amount that Asher spent on some shortbreads
= 1 u + 8.20
= 18.60 + 8.20
= $26.80
Answer(s): $26.80
