Tim bought some pastries. He bought some shortbreads with $8.10 more than half his money. He then bought some muffins with $5.60 less than half of his remaining money. He then had $14.30 left. How much did he pay for the shortbreads?
| Shortbreads |
Remaining amount |
| 1 u + $8.10 |
1 u - $8.10 |
| |
Muffins |
Left |
| |
1 p - $5.60 |
1 p + $5.60 |
| |
|
$14.30 |
Working backwards.
Amount that Tim had left = 1 p + 5.60
1 p + 5.60 = 14.30
1 p = 14.30 - 5.60 = 8.70
Remaining amount after he bought some shortbreads
= 2 p
= 2 x 8.70
= $17.40
Remaining amount after he bought some shortbreads = 1 u - 8.10
1 u - 8.10 = 17.40
1 u = 17.40 + 8.10
1 u = 25.50
Amount that Tim spent on some shortbreads
= 1 u + 8.10
= 25.50 + 8.10
= $33.60
Answer(s): $33.60
