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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 1, Problem 12CT

To determine

To translate given problem into an equation and to find the amount Jon and Amy did each spend.

Expert Solution & Answer

Answer to Problem 12CT

Required equation: x+x+5=29.

Amy spent = $12.

Jon spent =$17.

Explanation of Solution

Given information:

Jon spent $5 more than Amy and they spent $29 in all.

Calculation:

Let the amount that Amy spent (in $) = x

According to given problem

The amount that Jon spent (in $) =x+5

Total amount spent by both of them = $29

Therefore,

Amount spent by Amy + Amount spent by Jon = Total Amount spent by them together.

Substituting values,

x+x+5=29

Now, we need to solve above equation for x.

Combine like terms

2x+5=29

Subtracting 5 on both sides

2x+5−5=29−5⇒2x=24

Dividing both sides by 2

2x2=242⇒x=12

Therefore, the amount spent by Amy = $12.

And the amount spent by Jon

=x+5=12+5=$17.

Chapter 1, Problem 11CT

Chapter 1, Problem 13CT

Chapter 1 Solutions

Algebra: Structure And Method, Book 1

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