Albert bought some pastries. He bought some scones with $8.90 more than half his money. He then bought some tarts with $3.20 less than half of his remaining money. He then had $8.60 left. How much did he pay for the scones?
Scones |
Remaining amount |
1 u + $8.90 |
1 u - $8.90 |
|
Tarts |
Left |
|
1 p - $3.20 |
1 p + $3.20 |
|
|
$8.60 |
Working backwards.
Amount that Albert had left = 1 p + 3.20
1 p + 3.20 = 8.60
1 p = 8.60 - 3.20 = 5.40
Remaining amount after he bought some scones
= 2 p
= 2 x 5.40
= $10.80
Remaining amount after he bought some scones = 1 u - 8.90
1 u - 8.90 = 10.80
1 u = 10.80 + 8.90
1 u = 19.70
Amount that Albert spent on some scones
= 1 u + 8.90
= 19.70 + 8.90
= $28.60
Answer(s): $28.60