Question

A school choir needs to make t-shirts for its 75 members. A printing company charges $2 per shirt, plus a $50 fee for each color to be printed on the shirts. Write an equation that represents the relationship between the number of t- shirts ordered, the number of colors on the shirts and the total cost of the order. If you use a variable (letter) specify what it represents. In this situation, which quantities do you think can vary (change)? Which might be fixed (stay the same)?

Answer 1

Let's begin by listing out the given information:

total number of members = 75

printing charge = $2 per shirt

colour print for each shirt = $50 fee for each color to be printed on the shirts

Let the number of t-shirts be represented as n

Let the number of colors on the shirts be represented as x

Let the total cost of the order be represented as C

Every member must have a t-shirt means

total number of members * printing charge + (colour print for each shirt * number of colors on the shirts) = total cost of the order

75 * 2 + 50 * x = C

150 + 50x = C

C = 50x + 150

The number of colors on the shirts (x) can vary change; if the number of colors used increases, the cost of the order increases & if the number decreases, the cost of the order decreases

The printing company charges is fixed as every member is to get a shirt