# Solving Systems of Equations - PowerPoint PPT Presentation

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Solving Systems of Equations. By: Elizabeth F. December 18, 2003 2 nd Period. What's this all about?. Visual Arts/Communication Media Tech Radio Advertisement Pricing. The Problem.

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Solving Systems of Equations

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## Solving Systems of Equations

By: Elizabeth F.

December 18, 2003

2nd Period

• Visual Arts/Communication

• Media Tech

The Problem

Layne wants to purchase 3 radio ads that will air for 2 days. Radio Station A asks for \$25 per ad per day. Radio Station B costs \$30 for the first ad and \$15 for each ad following at the rate of \$12 a day. How much does it cost to air 3 ads on Radio Station A for 2 days, compared to how much it costs to run the same ads on Radio Station B?

Ok, I have the

information,

now what do

I do with it?

Layne wants to purchase 3 radio ads that will air for 2 days. Radio Station A asks for \$25 per ad per day. Radio Station B costs \$30 for the first ad and \$15 for each ad following at the rate of \$12 a day.

How much does it cost to air 3 ads on Radio Station A for 2 days, compared to how much it costs to run the same ads on Radio Station B?

• Starting with the information provided, make an equation for Radio Station A.

25a + 25d = t

Total price for Radio Station A.

Number of days

Price of each day

### Substitute and Solve

• Layne wants to purchase 3 radio ads that will air for two days.

• 25a + 25d = t

25 (3) + 25(2) = t

75 + 50 = 125

The total for Radio Station A is \$125.

• Now, the equation for Radio Station B. This one is a bit more complicated.

Radio Station B costs \$30 for the first ad and \$15 for each ad following at the rate of \$12 a day.

30 + 15a +12d = t

Total price for Radio Station B

Price per day

Number of days

### Substitute & Solve

Radio Station B costs \$30 for the first ad and \$15 for each ad following at the rate of \$12 a day.

30 + 15a +12d = t

30+15(2)+12(2)=t

30+30+24=84

The total cost for radio station B is \$84

### Conclusion

Layne should pick Radio Station B because, by solving systems of equations, the final cost comes out to \$84, compared to Radio station A, at \$125.