Fabian bought some pastries. He bought some shortbreads with $8.30 more than half his money. He then bought some muffins with $4.50 less than half of his remaining money. He then had $13.30 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $8.30 |
1 u - $8.30 |
| |
Muffins |
Left |
| |
1 p - $4.50 |
1 p + $4.50 |
| |
|
$13.30 |
Working backwards.
Amount that Fabian had left = 1 p + 4.50
1 p + 4.50 = 13.30
1 p = 13.30 - 4.50 = 8.80
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 8.80
= $17.60
Remaining amount after he bought some shortbreads = 1 u - 8.30
1 u - 8.30 = 17.60
1 u = 17.60 + 8.30
1 u = 25.90
Amount that Fabian spent on some shortbreads
= 1 u + 8.30
= 25.90 + 8.30
= $34.20
Answer(s): $34.20
