I need a word problem answer.

Question

Critical Thinking Problem Intermediate Algebra Fall 2020 

 

Name: _____________________________   

A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 2 tables is $27. The total cost to rent 3 chairs and 8 tables is $74. What is the cost to rent each chair and each table?

 

Interpretation: 

a. What are the two items the party company rents? __________ and __________

b. What is the cost to rent 5 chairs and 2 tables? __________

c. What is the cost to rent 3 chairs and 8 tables? __________

d. What are you asked to determine? ________________________________________

Analysis:

e. Choose two letters (variables) and write a system of two linear equations that can be used to solve the problem. 

 

 

 Evaluation: 

f. Using the addition method, solve the system of linear equations and write the solution. 

 

 

 

 

 

Explanation: 

g. Confirm your answer by checking your solution in both equations of the system.  

 

Answer 1

5c +2t =27

3c +8t = 74

20c +8t = 108

subtract 2nd from last equation to get

17c = 34

c = $2 per chair

t = (27-5c)/2 = 17/2 = $8.50 per table