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?

A) p ≤ 8
B) p ≤ 7
C) p ≥ 8
D) p ≥ 7

b?

correct

Yes

A caterer charges $500 plus $30 per guest to cater a wedding. Walt and Traci don't want to spend more than $8000 on catering. Write and solve an inequality in terms of the number of guests, g, that can be invited.

To find the maximum number of packages of peanuts that Stewart can buy, we need to start with the amount of money he has ($26) and deduct the amount he spent on the DVD ($12.81) and the amount he needs to set aside for lunch next week ($10).

Amount of money Stewart has - (Amount spent on DVD + Amount for lunch) = Amount available for peanuts

$26 - ($12.81 + $10) = Amount available for peanuts

$26 - $22.81 = Amount available for peanuts

$3.19 = Amount available for peanuts

Now, we can calculate how many packages of peanuts Stewart can buy with the remaining amount. Since each package costs $0.42, we divide the remaining amount by the cost per package:

Amount available for peanuts ÷ Cost per package = Maximum number of packages

$3.19 ÷ $0.42 = Maximum number of packages

7.6 ≈ 7

Stewart can buy a maximum of 7 packages of peanuts.

Therefore, the correct answer is B) p ≤ 7.