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 chair?

Question

A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7chairs for $400. What is the cost of each table and chair?

Answer 1

Tables are $25 and Chairs are $50 !

Answer 2

Let t be the cost of a table and c the cost of a chair.

 

4t + 2c = 200

2c = 200 - 4t

c = 100 - 2t

 

2t + 7c = 400

2t + 7(100 - 2t) = 400

2t + 700 - 14t = 400

700 - 12t = 400

700 = 12t + 400

300 = 12t

25 = t

c = 100 - 50 = 50