Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Concept explainers

Unitary Method
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
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Chapter 3.4, Problem 29P
To determine

To solve: for the number of bottles capped by each of the given machines in one day.

Expert Solution & Answer
Check Mark

Answer to Problem 29P

The number of bottles capped by Machine A is =15800

The number of bottles capped by Machine B is =7900

The number of bottles capped by Machine C is =16300

Explanation of Solution

Given Information: There are three machines A, B and C which caps bottles in a day such that,

(1) The number of bottles capped by A is twice that of B. and Machine C caps 500 bottles more than that done by A.

(2) The total bottles capped by the three machines together is 40,000

The given statements express the relation between the number of bottles capped by three machines in a day.

Let the number of bottles capped by Machine A be x .

1. The first statement gives the number of bottles capped by B and C in terms of Machine A as 12x and (x+500) respectively.

2. The second statement gives the total number of bottles capped by the three machines together in a day as,

  x+12x+(x+500)=40,000

Solving the equation gives the number of bottles capped by Machine A as,

  2.5x+500=40,0002.5x=39500x=395002.5=15800

Now, the number of bottles capped by Machine B is given by,

  12x=12×15800=7900

And, the bottles capped by Machine C is given by,

  (x+500)=15800+500=16300

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Chapter 3.4, Problem 28P
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Chapter 3.4, Problem 30P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

Ch. 3.1 - Prob. 1OECh. 3.1 - Prob. 2OECh. 3.1 - Prob. 3OECh. 3.1 - Prob. 4OECh. 3.1 - Prob. 5OECh. 3.1 - Prob. 6OECh. 3.1 - Prob. 7OECh. 3.1 - Prob. 8OECh. 3.1 - Prob. 9OECh. 3.1 - Prob. 10OE
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Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY