A group is selling T-shirts to raise money in a fundraiser. The group has a budget of $750 to order T-shirts from Jubilation Tees. The T-shirts cost $12 per shirt. There is a flat shipping fee of $10 for the order. The volunteer group will sell the T-shirts for a profit of $5 per shirt. The group's goal is to earn a profit of at least $280.

Question

A group is selling T-shirts to raise money in a fundraiser. The group has a budget of $750 to order T-shirts from Jubilation Tees. The T-shirts cost $12 per shirt. There is a flat shipping fee of $10 for the order. The volunteer group will sell the T-shirts for a profit of $5 per shirt. The group's goal is to earn a profit of at least $280.

Part A
What is the maximum number of T-shirts the volunteer group can buy without going over budget? Enter the answer in the box.

Answer 1

The total cost of the T-shirts without shipping is $12 per shirt x n shirts = $12n

The total cost including shipping is $12n + $10
The group's budget is $750
Therefore, $12n + $10 ≤ $750
$12n ≤ $740
n ≤ 61.67
Since the group cannot buy a fraction of a shirt, they can buy a maximum of 61 T-shirts without going over budget.