Henry bought some pastries. He bought some tarts with $6.30 more than half his money. He then bought some biscuits with $4.70 less than half of his remaining money. He then had $10.50 left. How much did he pay for the tarts?
Tarts |
Remaining amount |
1 u + $6.30 |
1 u - $6.30 |
|
Biscuits |
Left |
|
1 p - $4.70 |
1 p + $4.70 |
|
|
$10.50 |
Working backwards.
Amount that Henry had left = 1 p + 4.70
1 p + 4.70 = 10.50
1 p = 10.50 - 4.70 = 5.80
Remaining amount after he bought some tarts
= 2 p
= 2 x 5.80
= $11.60
Remaining amount after he bought some tarts = 1 u - 6.30
1 u - 6.30 = 11.60
1 u = 11.60 + 6.30
1 u = 17.90
Amount that Henry spent on some tarts
= 1 u + 6.30
= 17.90 + 6.30
= $24.20
Answer(s): $24.20