Daniel bought some pastries. He bought some biscuits with $9.70 more than half his money. He then bought some wafers with $5.10 less than half of his remaining money. He then had $10.50 left. How much did he pay for the biscuits?
| Biscuits |
Remaining amount |
| 1 u + $9.70 |
1 u - $9.70 |
| |
Wafers |
Left |
| |
1 p - $5.10 |
1 p + $5.10 |
| |
|
$10.50 |
Working backwards.
Amount that Daniel had left = 1 p + 5.10
1 p + 5.10 = 10.50
1 p = 10.50 - 5.10 = 5.40
Remaining amount after he bought some biscuits
= 2 p
= 2 x 5.40
= $10.80
Remaining amount after he bought some biscuits = 1 u - 9.70
1 u - 9.70 = 10.80
1 u = 10.80 + 9.70
1 u = 20.50
Amount that Daniel spent on some biscuits
= 1 u + 9.70
= 20.50 + 9.70
= $30.20
Answer(s): $30.20
