Chapter 2.III, Problem 38RE

### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

Chapter
Section

### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

# Engineers at Triangle Electronics use special silver wire to manufacture fuzzy logic circuit boards. The wire comes in 840-foot rolls that cost $1,200 each. Each board requires 4 1 5 feet of wire.a. How many circuit boards can be made from each roll?b. What is the cost of wire per circuit board? (a) To determine To calculate: The number of circuit boards that can be made from each roll of wire of length 840 foot which costs$1200 each if, each circuit board requires 415 feet of wire.

Explanation

Given information:

The length of each roll is 840 foot. Also, each board requires 415 feet of wire.

Formula used:

Division method:

Step 1: If there are any mixed numbers or whole numbers in the expression then convert them into improper fraction and then put them in the expression.

Step 2: Identify the dividend and divisor in the given fractions. The number after ÷ sign is the divisor and before ÷ sign is the dividend.

Step 3: Change the “divided by” sign, ÷ to a “multiplied by” sign, × and invert the divisor fraction. Invert here means the denominator of divisor becomes the numerator and numerator of the divisor becomes the denominator.

Step 4: Simply write the multiplication of the obtained fractions.

Step 5: Find a common factor which divides at least one of the numerators and one of the denominators evenly.

Step 6: Divide the numerator and denominator by the corresponding common factor to reduce the expression.

Step 7: Repeat this process until there are no more common factors other than 1 are left.

Step 8: Now, multiply all the simplified numbers to get the lowest term.

Step 9: If the fraction obtained is an improper fraction then convert it into a whole or mixed number, otherwise if the fraction is proper fraction then stop.

Calculation:

The length of wire is 840 foot.

The requirement of wire of each circuit board is 415 feet.

Therefore, the number of circuit boards that can be made is calculated as:

840÷415

First convert the mixed number 415 into fraction:

415=215

And, the whole number as:

840=8401

(b)

To determine

To calculate: The cost of wire per circuit board if the roll of 840-foot costs \$1200 each and each circuit board requires 415 of wire.

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