SOLUTION: The revenue for a sandwich shop is directly proportional to its advertising budget.When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is no

Algebra ->  Equations -> SOLUTION: The revenue for a sandwich shop is directly proportional to its advertising budget.When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is no      Log On


   

Question 114568: The revenue for a sandwich shop is directly proportional to its advertising budget.When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?
My question is this: what I know so far is that there is a difference of $60,000 between the old and new revenues. Would I take the $2000 and divide by that difference of $60,000? Or am I just confusing myself here
Thank You so much for your help,
Barb Neely
Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
A BETTER APPROACH IS THE FOLLOWING:
2,000/120,000=X/180,000 CROSS MULTIPLY.
120,000X=2,000*180,000
120,000X=360,000,000
X=360,000,000/120,000
X=$3,000 ANSWER FOR THE AMOUNT OF ADVERTISING EXPENSE.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=amount spent to gain a revenue of $180,000

We simply have this relationship 

money spent on advertising     unknown amount of money spent on advertising 
-------------------------- = -----------------------------------------------
        Revenue                                 New Revenue

So that means we have the equation

2000%2F120000=x%2F180000


180000%282000%2F120000%29=x Multiply both sides by 180,000


180000%281%2F60%29=x Reduce the fraction in the parenthesis



180000%2F60=x Multiply



3000=x Reduce


So when $3,000 dollars is spent on advertising, the revenue is $180,000