Problema Solution

A garden table and a bench cost $864 combined. The garden table costs $36 less than 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 garden table and a bench cost $864 combined


t + b = 864


The garden table costs $36 less than the bench


t = b - 36


by solving the system of equations


t + b = 864

t = b - 36


we find


b = $440


t = $414


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the cost of the bench is $440.