Question

Antonio is buying new rims and tires for his SUV. The total cost of the rims and tires is $2300. If the cost of the tires is $200 more than twice as much as the rims, what is the cost of the rims?

Answer 1

Use these two equations:

t + r = 2300 (total cost is $2300 for both)

t = 2r + 200 (the tires are $200 more than twice the cost of the rims)

Substitute 2r + 200 (from equation 2) for t in equation 1:

(2r + 200) + r = 2300

Combine like terms on the left side:

3r + 200 = 2300

Subtract 200 from both sides:

3r = 2100

Divide both sides by 3:

r = 700

The rims cost $700.

t + 700 = 2300

t = 1600

The tires cost $1600 which is $200 more than twice the cost of the $700 rims.