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
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

Explanation:

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

Answer 2

You should run 130 newspaper ads and 180 radio ads each month.

Explanation:

let x represent newspaper ads, and y represent radio ads.

600x + 300y = 24,000

x + y = 50

-300(x + y = 50)

-300x + -300y = 15,000

+600x + 300y = 24,000

300x = 39,000

x = 130

600(130) + 300y = 24,000

78,000 + 300y = 24,000

300y = 54,000

y = 180