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

x: cost of rims
y: cost of tires= 2x+200

2300=x+2x+200=3x+200
2100=3x
x=700

Answer 2

The cost of the rims was $700

Explanation:

1. Let´s name the variables as follows:

x=cost of the rims

y=cost of the tires

2. As the total cost of the rims and tires is $2300, the first equation is:

`x+y=2300` (Eq.1)

3. As the cost of the tires is $200 mores than twice as much as the rims, the second equation is:

`y=200+2x` (Eq.2)

4. Replace Eq.2 in Eq.1 and solve for x:

`x+200+2x=2300\\\\3x+200=2300\\\\3x=2300-200\\\\3x=2100\\\\x=(2100)/(3)\\\\x=700`

Therefore, the cost of the rims was $700