Answer Hans bought 50 programs. Explanation Given information: Each program costs $1.50. 20 programs sold for $3 each. Profit earned is $15. Such that Profit = selling price − purchase price Calculations: Let the number of programs Hans bought be x . Then Number Price Cost Bought X 1.50 1. 50x Sold x − 20 3.00 3x − 60 We know that Profit = selling price − purchase price Thus, 3 x − 60 − 1.50 x = 15 That becomes 1.50 x − 60 = 15 Add 60 to both sides: 1.50 x = 75 Divide both sides by 1.50: x = 50 Thus, The number of programs bought by Hans is 50.

(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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Question

Chapter 3.7, Problem 5P

To determine

To calculate: Number of programs Hans bought.

Expert Solution & Answer

Answer to Problem 5P

Hans bought 50 programs.

Explanation of Solution

Given information:

Each program costs $1.50.

20 programs sold for $3 each.

Profit earned is $15.

Such that

Profit = selling price − purchase price

Calculations:

Let the number of programs Hans bought be x .

Then

	Number	Price	Cost
Bought	X	1.50	1. 50x
Sold	x − 20	3.00	3x − 60

We know that

Profit = selling price − purchase price

Thus,

3x−60−1.50x=15

That becomes

1.50x−60=15

Add 60 to both sides:

1.50x=75

Divide both sides by 1.50:

x=50

Thus,

The number of programs bought by Hans is 50.

Chapter 3.7, Problem 4P

Chapter 3.7, Problem 6P

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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