Please help me question in description

Question

Your budget is 120,000. Billboard print ads cost 4,000 each while online advertisements cost 2,000 each. You also need to ensure that your advertisements reach a total audience of 500,000 people. Billboard advertisements reach an audience of 10,000 people while online advertisements reach an audience of 20,000 people. My task is to prepare a proposal for my advisor that recommends how many of each advertisement technique should be used

Answer 1

Assign variables for the quantities you need to solve for.

 

Let x = number of printed ads

Let y = number of online ads

 

Use these variables to set up equations based on the information given.

 

An equation for cost

 

4000x + 2000y = 120000         eq1

 

 

An equation for audience

 

10000x + 20000y = 500000              eq2

 

 

Next, multiply eq1 by 10.

 

40000x + 20000y = 1200000

10000x + 20000y = 500000

 

 

Subtract eq2 from eq1 to eliminate the y terms. 

 

30000x = 700000

         x = 24

 

Substitute this value of x into eq1 to solve for y.  I shall leave this part for you finish here.