Riordan bought some pastries. He bought some puffs with $6.90 more than half his money. He then bought some croissants with $8.90 less than half of his remaining money. He then had $13.30 left. How much did he pay for the puffs?
Puffs |
Remaining amount |
1 u + $6.90 |
1 u - $6.90 |
|
Croissants |
Left |
|
1 p - $8.90 |
1 p + $8.90 |
|
|
$13.30 |
Working backwards.
Amount that Riordan had left = 1 p + 8.90
1 p + 8.90 = 13.30
1 p = 13.30 - 8.90 = 4.40
Remaining amount after he bought some puffs
= 2 p
= 2 x 4.40
= $8.80
Remaining amount after he bought some puffs = 1 u - 6.90
1 u - 6.90 = 8.80
1 u = 8.80 + 6.90
1 u = 15.70
Amount that Riordan spent on some puffs
= 1 u + 6.90
= 15.70 + 6.90
= $22.60
Answer(s): $22.60