Pierre bought some pastries. He bought some wafers with $5.90 more than half his money. He then bought some biscuits with $1.90 less than half of his remaining money. He then had $7.30 left. How much did he pay for the wafers?
Wafers |
Remaining amount |
1 u + $5.90 |
1 u - $5.90 |
|
Biscuits |
Left |
|
1 p - $1.90 |
1 p + $1.90 |
|
|
$7.30 |
Working backwards.
Amount that Pierre had left = 1 p + 1.90
1 p + 1.90 = 7.30
1 p = 7.30 - 1.90 = 5.40
Remaining amount after he bought some wafers
= 2 p
= 2 x 5.40
= $10.80
Remaining amount after he bought some wafers = 1 u - 5.90
1 u - 5.90 = 10.80
1 u = 10.80 + 5.90
1 u = 16.70
Amount that Pierre spent on some wafers
= 1 u + 5.90
= 16.70 + 5.90
= $22.60
Answer(s): $22.60