Please help me on this irksome math problem. It's been troubling.

Question

You own a business that advertises in a local newspaper and over the radio. A newspaper ad costs $600. A radio ad costs $300. You have a monthly advertising budget of $24,000 and want to run 50 ads each month. Write and solve a system of equations to find how many newspaper ads and radio ads you should run each month.

Answer 1

Let x = # of newspaper ads, then 50-x is the number of radio ads. Set up an equation:

600x + 300(50-x) = 24000

300x + 15000 = 24000

300x = 9000

x = 30 = news ads, 20 radio ads