Gabriel bought some pastries. He bought some scones with $7.40 more than half his money. He then bought some puffs with $4.10 less than half of his remaining money. He then had $9.30 left. How much did he pay for the scones?
Scones |
Remaining amount |
1 u + $7.40 |
1 u - $7.40 |
|
Puffs |
Left |
|
1 p - $4.10 |
1 p + $4.10 |
|
|
$9.30 |
Working backwards.
Amount that Gabriel had left = 1 p + 4.10
1 p + 4.10 = 9.30
1 p = 9.30 - 4.10 = 5.20
Remaining amount after he bought some scones
= 2 p
= 2 x 5.20
= $10.40
Remaining amount after he bought some scones = 1 u - 7.40
1 u - 7.40 = 10.40
1 u = 10.40 + 7.40
1 u = 17.80
Amount that Gabriel spent on some scones
= 1 u + 7.40
= 17.80 + 7.40
= $25.20
Answer(s): $25.20