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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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BuyFindarrow_forward

Contemporary Mathematics for Busin...

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

Tim Kenney, a painter, used 6 4 5 gallons of paint on the exterior of a house and 9 3 4 gallons on the interior.

a. What is the total amount of paint used on the house?

b. If an additional 8 3 5 gallons was used on the garage, what is the total amount of paint used on the house and garage?

c. Rounding your answer from part b up to the next whole gallon, calculate the total cost of the paint if you paid $23 for each gallon.

(a)

To determine

To calculate: The total amount of paint used on the house if a painter used 645 gallons of the paint on the exterior of the house and 934 gallons of the paint on the interior of the house.

Explanation

Given information:

A painter used 645 gallons of the paint on the exterior of the house and 934 gallons of the paint on the interior of the house.

Formula used:

Use the following steps for adding the unlike fractions.

Step1: First add the fractional parts and also convert it to mixed fraction if the sum is in the improper fraction.

Step2: Now add the whole number.

Step3: Add the fraction from step1 to the whole number from step 2.

Step4: Reduce the answer to the lowest terms if necessary.

Now use the following steps for determining the least common denominator of two or more fractions with the use of prime number are,

Step1: Write all the denominators in a row.

Step2: Now find a prime number that divides evenly into any of the denominators and then write that prime number to the left of the row and divide while placing all quotients and undivided numbers in the next row down.

Step3: Repeat the above process until new row contains all ones.

Step4: Multiply all the prime numbers on the left to get the LCD of the fractions.

Calculation:

Consider the data a painter used 645 gallons of the paint on the exterior of the house and 934 gallons of the paint on the interior of the house.

To get the total amount of paint used on the house is equal to the sum of gallons of paint used on the exterior of the house and on the interior of the house.

That is,

645+934

As these are unlike fractions and they must be converted to obtain the same denominator so find the LCD

(b)

To determine

To calculate: The total amount of paint used on the house if a painter used 645 gallons of the paint on the exterior of the house and 934 gallons of the paint on the interior of the house and an additional paint of 835 gallons used on garbage.

(c)

To determine

To calculate: The total cost of paint used on the house if the gallons of paint 25320 calculated in part (b) is rounded off to next whole number.

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