Problema Solution
A cabinet, 4 chairs and 2 tables cost $825. The cabinet costs 3 times as much as a chair. The table costs $120 more than a chair. What is the cost oof the cabinet?
Answer provided by our tutors
let
x = the cost of the cabinet
y = the cost of a chair
z = the cost of a table
A cabinet, 4 chairs and 2 tables cost $825
x + 4y + 2z = 825
The cabinet costs 3 times as much as a chair
x = 3y
The table costs $120 more than a chair
z = 120 + y
by solving the system of equations
x + 4y + 2z = 825
x = 3y
z = 120 + y
we find
x = $195
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the cost of the cabinet is $195.