Tim bought some pastries. He bought some croissants with $8.20 more than half his money. He then bought some tarts with $5.10 less than half of his remaining money. He then had $11.70 left. How much did he pay for the croissants?
Croissants |
Remaining amount |
1 u + $8.20 |
1 u - $8.20 |
|
Tarts |
Left |
|
1 p - $5.10 |
1 p + $5.10 |
|
|
$11.70 |
Working backwards.
Amount that Tim had left = 1 p + 5.10
1 p + 5.10 = 11.70
1 p = 11.70 - 5.10 = 6.60
Remaining amount after he bought some croissants
= 2 p
= 2 x 6.60
= $13.20
Remaining amount after he bought some croissants = 1 u - 8.20
1 u - 8.20 = 13.20
1 u = 13.20 + 8.20
1 u = 21.40
Amount that Tim spent on some croissants
= 1 u + 8.20
= 21.40 + 8.20
= $29.60
Answer(s): $29.60