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Chapter 3: Q46. (page 122)

You purchase a video game system for \(150. You make a down payment of \)25. You pay the rest of the money you owe in 5 equal monthly payments with no interest. How much is each monthly payment? Show how you found your answer.

Short Answer

Expert verified

The solution of the equation is x=6.

Step by step solution

01

Step 1. Given information.

Consider the question given to find out each monthly payment for a video game system of $150which was bought with a down payment of $25 and the rest amount was paid equally in \[5\]months without any interest.

02

Step 2. Write the formula.

Writing and solving a two-step equation to solve the given question.

03

Step 3. Verify the solution.

Let p represent each monthly payment.

Total cost of the video game system= Amount of down payment + Number of months 脳Monthly payment

Therefore,

150=25+5p[Substitute.]150鈭�25=25+5p鈭�25[Subtract25fromeachside.]125=5p[Simplify.]1255=5p5鈥刐顿颈惫颈诲别别补肠丑蝉颈诲别产测5.闭25=p[Simplify.]

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