Luke bought some pastries. He bought some tarts with $6.80 more than half his money. He then bought some biscuits with $4.80 less than half of his remaining money. He then had $7.60 left. How much did he pay for the tarts?
| Tarts |
Remaining amount |
| 1 u + $6.80 |
1 u - $6.80 |
| |
Biscuits |
Left |
| |
1 p - $4.80 |
1 p + $4.80 |
| |
|
$7.60 |
Working backwards.
Amount that Luke had left = 1 p + 4.80
1 p + 4.80 = 7.60
1 p = 7.60 - 4.80 = 2.80
Remaining amount after he bought some tarts
= 2 p
= 2 x 2.80
= $5.60
Remaining amount after he bought some tarts = 1 u - 6.80
1 u - 6.80 = 5.60
1 u = 5.60 + 6.80
1 u = 12.40
Amount that Luke spent on some tarts
= 1 u + 6.80
= 12.40 + 6.80
= $19.20
Answer(s): $19.20
