SOLUTION: A sofa and loveseat are sold together for $ 1000. The loveseat is two thirds the price of the sofa. What are the prices of each?

Algebra.Com
Question 912556: A sofa and loveseat are sold together for $ 1000. The loveseat is two thirds the price of the sofa. What are the prices of each?
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
x the cost of the sofa
(2/3)x + x = $1000
2x + 3x = 3000
5x = 3000
x = $600, the cost of the sofa. Loveseat is $400
And...checking
sum = $1000

RELATED QUESTIONS

What is the selling price of a 1200.00 sofa if multiple discounts of 3% and 24% are... (answered by josgarithmetic)
A sofa and a chair cost $850 as a set. The sofa cost $200 more than twice as much as the... (answered by solver91311)
At a sale this week, a sofa is being sold for $629. This is 74% of the original price.... (answered by Boreal)
Today only, a sofa is being sold for 26% discount, the sale price is $407, what was the... (answered by jojo14344)
The MetroCity furniture company is planning to produce a new living room sofa. For the... (answered by rfer)
The MetroCity furniture company is planning to produce a new living room sofa. For the... (answered by addingup)
After a 75% reduction, you purchase a new sofa on sale for $195. What was the original... (answered by stanbon)
After a 30% reduction, you purchase a new sofa on sale for $315. what was the original... (answered by mananth)
After a 80 % reduction, you purchase a new sofa on sale for ​$100. What was the... (answered by jorel1380)