Julio bought tables and chairs for his restaurant. He brought 16 total items and spent $1800. Each table cost $150 and each chair cost $50. How many tables and chairs did he buy?

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Answer 1 · 2017-05-19T20:09:12

#10# tables and #6# chairs.

Let #t# equal the number of tables and #c# equal the number of chairs.

Write down two equations to find the two unknowns, #t# and #c#.

#150t + 50c = 1800#

#t + c = 16#

Using the substitution method:

#t = 16 - c#

So:

#150(16-c) + 50c = 1800#

#2400 - 150c + 50c = 1800#

#-100c + 2400 = 1800#

#-100c = -600#

#c = 6#

Substitute #c# back into either of the original equations to find #t#:

#t = 16 - c#

#t = 16 - 6#

#t = 10#

You could also use the elimination method to solve this problem.