Question

A volleyball team wants to order a team T-shirt. The Red Nose company charges $3.50 per shirt plus a $79 flat fee. The green Machine company charges $5 per shirt plus a $40 flat fee. Let T be the total cost and R be the number of shirts

show your full work

Red Nose: t = 4.50r + 55
Green Machine: t = 5r + 40

Find the total number of shirts that would make the total cost for each company the same

Number of shirts:
Cost:

Answer 1

To find the total number of shirts that would make the total cost for each company the same, we can set the two equations equal to each other and solve for the number of shirts:

Red Nose: t = 3.50r + 79

Green Machine: t = 5r + 40

3.50r + 79 = 5r + 40

Subtracting 3.50r from both sides, we get:

79 = 1.50r + 40

Subtracting 40 from both sides, we get:

39 = 1.50r

Dividing both sides by 1.50, we get:

r = 26

So the total cost for each company would be the same if 26 shirts are ordered.

To find the total cost for each company when 26 shirts are ordered, we can substitute 26 for r in each equation:

Red Nose: t = 3.50(26) + 79 = $192

Green Machine: t = 5(26) + 40 = $170

Therefore, if 26 shirts are ordered, the total cost would be $192 for Red Nose and $170 for Green Machine.