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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

You are the owner of Decorama Flooring. Todd and Claudia have asked you to give them an estimate for tiling four rooms of their house. The living room is 15 feet × 23 feet, the dining room is 12 feet × 18 feet, the kitchen is 9 feet × 11 feet, and the study is 10 feet × 12 feet.

a. How many square feet of tile are required for each room? (Multiply the length by the width.)

b. What is the total number of square feet to be tiled?

c. If the tile for the kitchen and study costs $4 per square foot and the tile for the living and dining rooms costs $3 per square foot, what is the total cost of the tile?

d. If your company charges $2 per square foot for installation, what is the total cost of the tile job?

e. If Todd and Claudia have saved $4,500 for the tile job, by how much are they over or under the amount needed?

(a)

To determine

To calculate: How many square feet of tile are required for each room if living room is 15 feet × 23 feet, the dining room is 12 feet × 18 feet, the kitchen is 9 feet × 11 feet and the study is 10 feet × 12 feet.

Explanation

Given Information:

Living room is 15 feet × 23 feet, the dining room is 12 feet × 18 feet, the kitchen is 9 feet × 11 feet and the study is 10 feet × 12 feet.

Formula used:

Steps for multiplying whole numbers.

Step 1: Write down the factors such that the place values line up in columns.

Step 2: Multiply every digit of the multiplier with the multiplicand, starting with the units. Each multiplication gives a partial product whose unit digit appears under the same column that is the corresponding digit of the multiplier.

Step 3: Now in each column, add the digits of the partial products, starting with the unit’s column on the right.

Calculation:

Consider the provided dimensions, living room is 15 feet × 23 feet, the dining room is 12 feet × 18 feet, the kitchen is 9 feet × 11 feet and the study is 10 feet × 12 feet.

Square feet of tile required for the living room will be,

     23×   15         ¯

Multiply the multiplier ‘5’ with the multiplicand:

     23×   15   115 ¯

Multiply the multiplier ‘1’ with the multiplicand and write the partial product under the corresponding column:

     23×   15   115   23 ¯

Add the partial products,

     23×   15   115   23   345¯ ¯

Therefore, Square feet of tile required for the living room is 345sq ft

(b)

To determine

To calculate: The total number of square feet to be tiled if living room is 15 feet × 23 feet, the dining room is 12 feet × 18 feet, the kitchen is 9 feet × 11 feet and the study is 10 feet × 12 feet.

(c)

To determine

To calculate: Total cost of the tile, if the tile for the kitchen and study costs $4 per square foot and the tile for living and dining rooms costs $3 per square foot.

(d)

To determine

To calculate: Total cost of the tile job, if the company charges $2 per square feet of installation.

(e)

To determine

To calculate: How much amount is more or less than the amount needed if the savings for the tile job are $4,500?

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