Question

A school plans to have a fundraiser before basketball games selling shirts with their school logo.

The school contacted two companies to find out how much it would cost to have the shirts made.
Company A charges a $50 set-up fee and $5 per shirt. Company B charges a $25 set-up fee and
$6 per shirt.
Write an equation for Company A that could be used to determine the total cost, A, when
x shirts are ordered. Write a second equation for Company B that could be used to determine
the total cost, B, when x shirts are ordered.
Determine algebraically and state the minimum number of shirts that must be ordered for it to be
cheaper to use Company A.

Answer 1

Answer: for the cost of shipping with company A to be cheaper, the minimum number of orders should be 25 shirts.

Explanation:

Let x represent the number of shirts ordered by the school from either companies.

Company A charges a $50 set-up fee and $5 per shirt. It means that the total amount that they would charge for x shirts ordered by the school is

5x + 50

Company B charges a $25 set-up fee and $6 per shirt. It means that the total amount that they would charge for x shirts ordered by the school is

6x + 25

For the cost of using company A to be cheaper, the expression would be

5x + 50 ≤ 6x + 25

50 - 25 ≤ 6x - 5x

25 ≤ x

x ≥ 25