Ahmad bought some pastries. He bought some tarts with $7.70 more than half his money. He then bought some biscuits with $4.70 less than half of his remaining money. He then had $13.40 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $7.70 |
1 u - $7.70 |
| |
Biscuits |
Left |
| |
1 p - $4.70 |
1 p + $4.70 |
| |
|
$13.40 |
Working backwards.
Amount that Ahmad had left = 1 p + 4.70
1 p + 4.70 = 13.40
1 p = 13.40 - 4.70 = 8.70
Remaining amount after he bought some tarts
= 2 p
= 2 x 8.70
= $17.40
Remaining amount after he bought some tarts = 1 u - 7.70
1 u - 7.70 = 17.40
1 u = 17.40 + 7.70
1 u = 25.10
Amount that Ahmad spent on some tarts
= 1 u + 7.70
= 25.10 + 7.70
= $32.80
Answer(s): $32.80
