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

Question

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

Answer 1

A. p ≤ 8

To calculate the maximum number of packages of peanuts Stewart can buy, first subtract the cost of the DVD and the amount he needs to set aside for lunch next week from the total amount he has:
$26 - $12.81 - $10.00 = $3.19 remaining

Then, divide the remaining amount by the cost of one package of peanuts:
$3.19 / $0.42 = 7.595

Since Stewart cannot buy a fraction of a package of peanuts, he can buy a maximum of 7 packages. Hence, the correct answer is p ≤ 8.