the cost of two tables and three chairs are worth 105. if the table costs 40 more than the chair. find the cost of the table and chair

Question

 the cost of the tables and the chair

 

Answer 1

Hi Trix

 

First, assign variables for the unknowns:

Let c = # chairs

Let t = # tables

 

2t + 3c = 105

t = c + 40

 

Substitute c+40 in place of t in 1st equation

 

2(c+40) + 3c = 105

2c + 80 + 3c = 105

5c + 80 = 105

 

Can you finish solving for number of chairs?

Then number of tables is chairs + 40