Warren bought some pastries. He bought some puffs with $6.90 more than half his money. He then bought some muffins with $7.10 less than half of his remaining money. He then had $14.90 left. How much did he pay for the puffs?
Puffs |
Remaining amount |
1 u + $6.90 |
1 u - $6.90 |
|
Muffins |
Left |
|
1 p - $7.10 |
1 p + $7.10 |
|
|
$14.90 |
Working backwards.
Amount that Warren had left = 1 p + 7.10
1 p + 7.10 = 14.90
1 p = 14.90 - 7.10 = 7.80
Remaining amount after he bought some puffs
= 2 p
= 2 x 7.80
= $15.60
Remaining amount after he bought some puffs = 1 u - 6.90
1 u - 6.90 = 15.60
1 u = 15.60 + 6.90
1 u = 22.50
Amount that Warren spent on some puffs
= 1 u + 6.90
= 22.50 + 6.90
= $29.40
Answer(s): $29.40