Fabian bought some pastries. He bought some puffs with $8.30 more than half his money. He then bought some scones with $2.90 less than half of his remaining money. He then had $7.20 left. How much did he pay for the puffs?
| Puffs |
Remaining amount |
| 1 u + $8.30 |
1 u - $8.30 |
| |
Scones |
Left |
| |
1 p - $2.90 |
1 p + $2.90 |
| |
|
$7.20 |
Working backwards.
Amount that Fabian had left = 1 p + 2.90
1 p + 2.90 = 7.20
1 p = 7.20 - 2.90 = 4.30
Remaining amount after he bought some puffs
= 2 p
= 2 x 4.30
= $8.60
Remaining amount after he bought some puffs = 1 u - 8.30
1 u - 8.30 = 8.60
1 u = 8.60 + 8.30
1 u = 16.90
Amount that Fabian spent on some puffs
= 1 u + 8.30
= 16.90 + 8.30
= $25.20
Answer(s): $25.20
