Owen bought some pastries. He bought some croissants with $9.80 more than half his money. He then bought some tarts with $1.30 less than half of his remaining money. He then had $10.10 left. How much did he pay for the croissants?
Croissants |
Remaining amount |
1 u + $9.80 |
1 u - $9.80 |
|
Tarts |
Left |
|
1 p - $1.30 |
1 p + $1.30 |
|
|
$10.10 |
Working backwards.
Amount that Owen had left = 1 p + 1.30
1 p + 1.30 = 10.10
1 p = 10.10 - 1.30 = 8.80
Remaining amount after he bought some croissants
= 2 p
= 2 x 8.80
= $17.60
Remaining amount after he bought some croissants = 1 u - 9.80
1 u - 9.80 = 17.60
1 u = 17.60 + 9.80
1 u = 27.40
Amount that Owen spent on some croissants
= 1 u + 9.80
= 27.40 + 9.80
= $37.20
Answer(s): $37.20