Billy bought some pastries. He bought some shortbreads with $5.30 more than half his money. He then bought some macarons with $5.80 less than half of his remaining money. He then had $10.20 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $5.30 |
1 u - $5.30 |
| |
Macarons |
Left |
| |
1 p - $5.80 |
1 p + $5.80 |
| |
|
$10.20 |
Working backwards.
Amount that Billy had left = 1 p + 5.80
1 p + 5.80 = 10.20
1 p = 10.20 - 5.80 = 4.40
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 4.40
= $8.80
Remaining amount after he bought some shortbreads = 1 u - 5.30
1 u - 5.30 = 8.80
1 u = 8.80 + 5.30
1 u = 14.10
Amount that Billy spent on some shortbreads
= 1 u + 5.30
= 14.10 + 5.30
= $19.40
Answer(s): $19.40
