Neave bought some pastries. He bought some biscuits with $5.70 more than half his money. He then bought some puffs with $1.60 less than half of his remaining money. He then had $7.70 left. How much did he pay for the biscuits?
| Biscuits |
Remaining amount |
| 1 u + $5.70 |
1 u - $5.70 |
| |
Puffs |
Left |
| |
1 p - $1.60 |
1 p + $1.60 |
| |
|
$7.70 |
Working backwards.
Amount that Neave had left = 1 p + 1.60
1 p + 1.60 = 7.70
1 p = 7.70 - 1.60 = 6.10
Remaining amount after he bought some biscuits
= 2 p
= 2 x 6.10
= $12.20
Remaining amount after he bought some biscuits = 1 u - 5.70
1 u - 5.70 = 12.20
1 u = 12.20 + 5.70
1 u = 17.90
Amount that Neave spent on some biscuits
= 1 u + 5.70
= 17.90 + 5.70
= $23.60
Answer(s): $23.60
