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

1 Answer
May 9, 2018

The tires will cost $1600 and the rims will cost $700.

Explanation:

To start, set up an equation:

Using r for rims and t for tires --

t=2r+200
t+r=2300

Substitute 2r+200 for t to get it to one variable.

2r+200+r=2300

Combine like terms:

2r+r+200=2300
3r+200=2300

And subtract 200 from both sides:

3r=2100

Divide both sides by 3:

(3r)/3=2100/3

To get:

r=700

This means that the rims will cost $700.

We can use an equation from earlier to solve for tires:

t=2r+200
t=2(700)+200
t=1400+200
t=1600

Meaning the tires will cost $1600 and the rims will cost $700.