How many of each type of ad can the department run each month?

Question

A health insurance company advertises on television, on radio, and in the local newspaper. The marketing department has an advertising budget of $99,700 per month. A television ad costs $2000, a radio ad costs $100, and a newspaper ad costs $600. The department wants to run 84 ads per month, and have as many television ads as radio and newspaper ads combined. How many of each type of ad can the department run each month?

Television ads ____

Radio ads ____

Newspaper ads ____

Answer 1

42 TV 19 radio 23 news ads

42(2000) + 19(100) + 23(600)

=$99,700 total spent on ads

try the other posted answer and you get a weird incorrect answer, which is why he didn't try to solve it himself beyond setting it up wrong

2r +2n = 84

r+n = 84/2 = 42

r=42-n

2000(42) +100(42-n)+60n = 99700

-100n +60n = 99700 -84000 -4200

-40n = 99700- 88200 = 11,500

n = 11500/-40 = 1150/-4 = 575/-2 = -287.5

Answer 2

r + n + r + n = 84

2r + 2n = 84

r + n = 42

r = 42 - n

t = 42

2000(42) + 100(42- n) + 60n = 99700

Can you solve for n and answer?