Cody bought some pastries. He bought some puffs with $5.10 more than half his money. He then bought some macarons with $3.50 less than half of his remaining money. He then had $10.20 left. How much did he pay for the puffs?
Puffs |
Remaining amount |
1 u + $5.10 |
1 u - $5.10 |
|
Macarons |
Left |
|
1 p - $3.50 |
1 p + $3.50 |
|
|
$10.20 |
Working backwards.
Amount that Cody had left = 1 p + 3.50
1 p + 3.50 = 10.20
1 p = 10.20 - 3.50 = 6.70
Remaining amount after he bought some puffs
= 2 p
= 2 x 6.70
= $13.40
Remaining amount after he bought some puffs = 1 u - 5.10
1 u - 5.10 = 13.40
1 u = 13.40 + 5.10
1 u = 18.50
Amount that Cody spent on some puffs
= 1 u + 5.10
= 18.50 + 5.10
= $23.60
Answer(s): $23.60