Chapter 4.1, Problem 38E

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Chapter
Section

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

# In Exercises 31-38, translate the given statement into one or more linear equations in the form a x + b y = c using the indicated variable names. Do not try to solve the resulting equation(s).[HINT: See Example 7 and the end of section FAQ.]Of your customer base, consisting of paid-up customers ( x ) andcustomers who still owe money ( y ) , 75% of your customer base is paid up, the result being that there are 14,000 more paid-up customers than customers who owe money.

To determine

The linear equations of the statement “Of your customer base, consisting of paid-up customers (x) and customers who still owe money (y), 75% of your customer base is paid up, the result being that there are 14,000 more paid-up customers than customers who owe money ” in the form ax+by=c using the indicated variable names.

Explanation

Consider the problem, āOf your customer base, consisting of paid-up customers (x) and customers who still owe money (y), 75% of your customer base is paid up, the result being that there are 14,000 more paid-up customers than customers who owe moneyā.

Since x is the number of paid-up customers and y is the number of customers who still owe money.

The paid-up customers (x) are 75% of the total customer base.

The total number of customers are x+y. That is, x=75%ā(x+y).

Recall that for any real x,Ā x%=x100.

Substitute x=75Ā inĀ x%=x100.

75%=75100=34

Thus,

x=75%ā(x

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