# 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?

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 --

$t = 2 r + 200$
$t + r = 2300$

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

$2 r + 200 + r = 2300$

Combine like terms:

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

And subtract $200$ from both sides:

$3 r = 2100$

Divide both sides by $3$:

$\frac{3 r}{3} = \frac{2100}{3}$

To get:

$r = 700$

This means that the rims will cost $700. We can use an equation from earlier to solve for tires: $t = 2 r + 200$$t = 2 \left(700\right) + 200$$t = 1400 + 200$$t = 1600$Meaning the tires will cost $1600 and the rims will cost \$700.