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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 l.jpg

Solving Systems of Equations

By: Elizabeth F.

December 18, 2003

2nd Period


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What's this all about?

  • Visual Arts/Communication

  • Media Tech

  • Radio Advertisement Pricing


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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?


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Ok, I have the

information,

now what do

I do with it?


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What does the question ask?

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?


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

    Radio Station A asks for $25 per ad, per day.

    25a + 25d = t

Total price for Radio Station A.

Cost of ad

Number of ads

Number of days

Price of each day


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Substitute and Solve

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

  • Radio Station A asks for $25 per ad per day.

  • 25a + 25d = t

25 (3) + 25(2) = t

75 + 50 = 125

The total for Radio Station A is $125.


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  • 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 for the first Ad

Price for each additional Ad

Price per day

Number of additional Ads

Number of days


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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


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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.


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