Question

A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?

a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750

Answer 1

x + y = 80

325x = -50y + 6,750

Explanation:

Answer 2

`x+y = 80\\325x+50y = 6, 750`

Explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

`x+y = 80 ............ 1`

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

`325 * x \\325x`

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

`50 * y\\50y`

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

`325x+50y = 6,750 .............. 2`

Hence the system of equations represents the situation is:

`x+y = 80\\325x+50y = 6, 750`