Zane bought some pastries. He bought some croissants with $5.10 more than half his money. He then bought some tarts with $5.30 less than half of his remaining money. He then had $10.50 left. How much did he pay for the croissants?
Croissants |
Remaining amount |
1 u + $5.10 |
1 u - $5.10 |
|
Tarts |
Left |
|
1 p - $5.30 |
1 p + $5.30 |
|
|
$10.50 |
Working backwards.
Amount that Zane had left = 1 p + 5.30
1 p + 5.30 = 10.50
1 p = 10.50 - 5.30 = 5.20
Remaining amount after he bought some croissants
= 2 p
= 2 x 5.20
= $10.40
Remaining amount after he bought some croissants = 1 u - 5.10
1 u - 5.10 = 10.40
1 u = 10.40 + 5.10
1 u = 15.50
Amount that Zane spent on some croissants
= 1 u + 5.10
= 15.50 + 5.10
= $20.60
Answer(s): $20.60