Concept explainers
A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each chair?
To find: The cost of each table and each chair
Answer to Problem 19P
The cost of each table is $25 and the cost of each chair is $50.
Explanation of Solution
Given information:
A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400.
Calculation:
A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. Let us assume the cost of each table is x and the cost of each chair is y .
Hence we can write the above statement in equation form as follows:
In order to solve two system by substitution, we solve one of the equations for one of the
Variables, and plug this into other equation.
As it is given that
Now we substitute
By plugging
Therefore the solution is
Therefore the cost of each table is $25 and the cost of each chair is $50.
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