Stewart has $26 dollars. He spent $12.81, including tax, to buy a new DVD. He needs to set aside $10.00 to pay for his lunch next week. If peanuts cost $0.42 per package including tax, describe the maximum number of packages that Stewart can buy?
Responses
A p ≤ 8p ≤ 8
B p ≤ 7p ≤ 7
C p ≥ 8p ≥ 8
D p ≥ 7
To find out the maximum number of packages that Stewart can buy, we need to subtract the amount he spent on the DVD and the amount he needs to set aside for lunch from the amount he has.
Amount spent on DVD: $12.81
Amount set aside for lunch: $10.00
Amount remaining: $26.00 - $12.81 - $10.00 = $3.19
The maximum number of packages Stewart can buy with $3.19 is given by dividing this amount by the cost per package:
Maximum number of packages: $3.19 / $0.42 ≈ 7.6
Since Stewart cannot buy a fraction of a package, the maximum number of packages he can buy is 7.
Therefore, the correct answer is B: p ≤ 7.