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?

Answer 1

Greetings! Lets solve this shall we ? Let x = the cost of tables and y = the cost of chairs

So, let the equations be set equal to

4x + 2y = 200

2x + 7y = 400................Now multiply the second equation by -2 so we can cancel out the x-values such that

4x + 2y = 200

-4x - 14y = -800...............Now we use the process of elimination to solve for the cost of chairs first such that

----------------------

-12y = -600..............Divide -12 such that

y = $50 per chair

Now we plug this number in to obtain the cost per table such that

4x + 2(50) = 200

4x + 100 = 200................Subtract 100 to both sides such that

4x = 100...............Then divide 4 such that

x = $25 per table

I hope this helped!