Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 5.7, Problem 31E

To determine

To find the number of paychecks needed for camping trip.

Expert Solution & Answer

Answer to Problem 31E

Number of paychecks needed for camping trip is 5

Explanation of Solution

Given information:

Consider the given information:

Total amount required for camping, T=400$

Amount in savings account As=64.96$

Amount on each paycheck Ap=69.86$

Calculation:

Assume the number of paychecks to be x

Therefore, apart from the amount in the savings account to achieve the required amount of $400, total amount from paychecks required is Ap⋅x or 69.86$x

Therefore, the equation can be written as,

As+x⋅Ap=400

Solve the equation,

As+x⋅Ap=40064.96+69.86$x=400 [Substitute the values]

Since, the greatest number of decimal places in any of the given term is 2, therefore multiply each side of the equation by 100.

64.96+x⋅69.86=400 [Write original equation]100⋅(64.96+69.86x)=100⋅400 [Multiply each side by 100]6496+6986x=40000 [Use distributive property.Simplify]6496+6986x−6496=40000−6496 [Subtract 6496 from each side]6986x=33504 [Simplify]6986x6986=335046986 [Divide each side by 6986]x=4.8≈5 [Simplify]

Hence , number of paychecks still needed is x≈5

Chapter 5.7, Problem 30E

Chapter 5.7, Problem 32E

Chapter 5 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 5.1 - Prob. 1C Ch. 5.1 - Prob. 2C Ch. 5.1 - Prob. 3C Ch. 5.1 - Prob. 4C Ch. 5.1 - Prob. 5C Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E

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