Japheth bought some pastries. He bought some puffs with $7.10 more than half his money. He then bought some muffins with $1.60 less than half of his remaining money. He then had $6.20 left. How much did he pay for the puffs?
| Puffs |
Remaining amount |
| 1 u + $7.10 |
1 u - $7.10 |
| |
Muffins |
Left |
| |
1 p - $1.60 |
1 p + $1.60 |
| |
|
$6.20 |
Working backwards.
Amount that Japheth had left = 1 p + 1.60
1 p + 1.60 = 6.20
1 p = 6.20 - 1.60 = 4.60
Remaining amount after he bought some puffs
= 2 p
= 2 x 4.60
= $9.20
Remaining amount after he bought some puffs = 1 u - 7.10
1 u - 7.10 = 9.20
1 u = 9.20 + 7.10
1 u = 16.30
Amount that Japheth spent on some puffs
= 1 u + 7.10
= 16.30 + 7.10
= $23.40
Answer(s): $23.40
