Problema Solution

A garden table and a bench cost $600 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench.

Answer provided by our tutors

let


b = the cost of the bench


t = the cost of the garden table


A garden table and a bench cost $600 combined:


b + t = 600


The cost of the garden table is three times the cost of the bench:


t = 3b


plug t = 3b into b + t = 600:


b + 3b = 600


4b = 600 divide both sides by 4


b = 600/4


b = $150


the cost of the bench is $150.