Question

Jake is comparing the prices of two laundry service companies. Company A charges $20 per load and an additional $8 as service charges. Company B charges $24 per load and an additional $4 as service charges.

Part A: Write equations to represent Company A and Company B's total laundry charges for a certain number of loads. Define the variable used in the equations.

Part B: Which company would charge less for 5 loads of laundry? Justify your answer.

Part C: How much money is saved by using the services of Company A instead of Company B to clean 9 loads of laundry?

Answer 1

For the answer to the question above,
Company A 
$20 per load 
$8 service 
Company B 
$24 per load 
$4 service 

A) 
Let l be the number of loads 

Company A = 20 l + 8 
Company B = 24 l + 4 

B) 
Company A = 20*5 + 8 
= $108 
Company B = 24*5 + 4 
= $124 
Company A charges less 

C) 

Company A = 20*9 + 8 
= $188 
Company B = 24*9 + 4 
= $220 

220 - 188 = 32 
Jake saves $32.

I hope this helps