Problema Solution

A table and bench cost $1000 combined. The table is three times the cost of the bench. What is the cost of the bench?

Answer provided by our tutors

let


t = the cost of the table

b = the cost of the bench


A table and bench cost $1000 combined:


t + b = 1000


The table is three times the cost of the bench:


t = 3b


By solving the system of equations


t + b = 1000

t = 3b


we find


t = $750


b = $250


click here to see the step by step solution of the system of equations:


Click to see all the steps



the cost of the bench is $250.