12th Edition

ISBN: 9780358403685

Author: Larson

Publisher: HM CC

Concept explainers

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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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

EBK PRE-ALGEBRA

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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