   Chapter 11.4, Problem 71E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# APPLICATIONSBuying Fruit A roadside fruit stand sells apples at 75 c a pound, peaches at 90 c a pound, and pears at 60 c a pound. Muriel buys 18 lb of fruit at a total cost of $13.80. Her peaches and pears together cost$1.80 more than her apples.(a) Set up a linear system for the number of pounds of apples, peaches, and pears that she bought.(b) Solve the system using Cramer’s Rule.

To determine

(a)

To find:

A linear system for the number of pounds of apples, peaches, and pears that Muriel bought.

Explanation

Given:

A roadside fruit stand sells apples at 75c a pound, peaches at 90c a pound, and pears at 60c a pound. Muriel buys 18 lb of fruit at a total cost of $13.80. Her peaches and pears together cost$1.80 more than her apples.

Calculations:

Let x be the number of apples bought, y be the number of peaches bought and z be the number of pears bought.

The system of linear equations based on the given information is given below.

x+y+z=180.75x+0.90y+0.60z=13.80.75x+0.90y+0.60z=1.8

The system of linear equations is transformed below.

To determine

(b)

To find:

A linear system for the number of pounds of apples, peaches, and pears that Muriel bought.

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