Neave bought some pastries. He bought some scones with $7.10 more than half his money. He then bought some shortbreads with $8.40 less than half of his remaining money. He then had $14.50 left. How much did he pay for the scones?
| Scones |
Remaining amount |
| 1 u + $7.10 |
1 u - $7.10 |
| |
Shortbreads |
Left |
| |
1 p - $8.40 |
1 p + $8.40 |
| |
|
$14.50 |
Working backwards.
Amount that Neave had left = 1 p + 8.40
1 p + 8.40 = 14.50
1 p = 14.50 - 8.40 = 6.10
Remaining amount after he bought some scones
= 2 p
= 2 x 6.10
= $12.20
Remaining amount after he bought some scones = 1 u - 7.10
1 u - 7.10 = 12.20
1 u = 12.20 + 7.10
1 u = 19.30
Amount that Neave spent on some scones
= 1 u + 7.10
= 19.30 + 7.10
= $26.40
Answer(s): $26.40
