Henry bought some pastries. He bought some tarts with $7.50 more than half his money. He then bought some croissants with $6.60 less than half of his remaining money. He then had $9.20 left. How much did he pay for the tarts?
Tarts |
Remaining amount |
1 u + $7.50 |
1 u - $7.50 |
|
Croissants |
Left |
|
1 p - $6.60 |
1 p + $6.60 |
|
|
$9.20 |
Working backwards.
Amount that Henry had left = 1 p + 6.60
1 p + 6.60 = 9.20
1 p = 9.20 - 6.60 = 2.60
Remaining amount after he bought some tarts
= 2 p
= 2 x 2.60
= $5.20
Remaining amount after he bought some tarts = 1 u - 7.50
1 u - 7.50 = 5.20
1 u = 5.20 + 7.50
1 u = 12.70
Amount that Henry spent on some tarts
= 1 u + 7.50
= 12.70 + 7.50
= $20.20
Answer(s): $20.20