Question

The first company charges $3.50 per cubic foot of rock and $80 for delivery. The second company charges $2.50 per cubic foot of rock and $120 for delivery. Which system of equations can be used to determine the value of the width, x, at which the cost of the two companies, y, is the same?

Answer 1

x = 40

Explanation:

First company:

Charges = per cubic foot of rock fee + delivery fee

y = $3.50x + $80

Second company:

Charges = per cubic foot of rock fee + delivery fee

y = $2.50x + $120

Equate the charges of both companies

$3.50x + $80 = $2.50x + $120

3.50x - 2.50x = 120 - 80

x = 40

The cost of the two companies, y are equal when x = 40