4 similar tables and 5 similar chairs cost $632. If 3 such chairs cost $104 less than 4 such tables, what is the cost of each chair?

Question

I need to know what is the answer immediately

 

Answer 1

Let x = the number of chairs.

 

Let y = the number of tables.

 

5x + 4y = $632

 

3x = 4y − $104

 

Using the addition property of equations, adding 104 to each side of the 2nd equation, then using the reflexive property of equations --

 

4y = 3x + 104

 

Using the substitution method for systems of equations, rewrite the 1st equation -- 

 

5x + (3x + 104) = 632

 

8x + 104 = 632  add 104 to both sides of equation

 

8x = 528  divide both sides of equation by 8

 

x = 66

 

Each chair costs $66.