Question

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?

Answer 1

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`.