Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 7.6, Problem 27E

To determine

To estimate: The amount of the sales tax.

Expert Solution

Answer to Problem 27E

The amount of the sales tax is $0.931 .

Explanation of Solution

Given information: The pizzas you order for home delivery cost $19 . The sales tax is 4.9% and you plan to give a 15% tip.

Calculation: Here, The cost of the pizza is $19 and rate of sales tax is 4.9% .

Let, The amount of sales tax is x

Where, x=4.9% of $19 .

Here, Percent (%) means ‘out of 100 ’ and when dealing with percents the word ‘of’ means ‘times or to multiply’.

Hence, Hence, 4.9% can be written as 4.9100 and 4.9% of $19 can be written as 4.9100×$19 .

Let’s find the value of x ,

x=4.9100×$19x=$0.931

Hence, The amount of the sales tax is $0.931 .

To determine

To estimate: The amount of tip.

Expert Solution

Answer to Problem 27E

The amount of tip is $2.85 .

Explanation of Solution

Given information: The pizzas you order for home delivery cost $19 . The sales tax is 4.9% and you plan to give a 15% tip.

Calculation: If want to leave a 15% the fact we can use is 15%=10%+5% .

Let’s find the amount of tip,

= $1.9+$1.92=$1.9+$0.95=$2.85

Explanation of the method is ,

Hence, Calculate 10% of the bill by moving the decimal point one position to the left. After that take the half of the number and add the new amount of the original 10% .

Hence, The amount of tip is $2.85 .

To determine

To estimate: The total cost of the order.

Expert Solution

Answer to Problem 27E

The total cost of the order is $22.781 , and the estimate of the total cost is same as the total cost of the order.

Explanation of Solution

Given information: The pizzas you order for home delivery cost $19 . The sales tax is 4.9% and you plan to give a 15% tip.

Calculation: The cost of the pizza is $19 , the sales tax is 4.9% and the tip is 15% .

The amount of sales tax and the amount of tip should be added with the cost of the pizza.

Let’s find the total cost of the order,

=$19+$0.931+$2.85=$22.781

Hence, The total cost of the order is $22.781 , and the estimate of the total cost is same as the total cost of the order.

To determine

To find: The exact cost of the order.

Expert Solution

Answer to Problem 27E

The exact total cost of the order is $22.781 and the exact the total cost is exactly equal to the estimated total cost of the order.

Explanation of Solution

Given information: The pizzas you order for home delivery cost $19 . The sales tax is 4.9% and you plan to give a 15% tip.

Calculation: The cost of the pizza is $19 , the sales tax is 4.9% and the tip is 15% .

The amount of the sales tax is,

=4.9100×$19=$0.931

The amount of the tip is,

=15% of $19=15100×$19=$285100=$2.85

Let’s find the exact total cost of the order,

=$19+$0.931+$2.85=$22.781

Hence, The exact total cost of the order is $22.781 and the exact the total cost is exactly equal to the estimated total cost of the order.

Chapter 7.6, Problem 26E

Chapter 7.6, Problem 28E

Chapter 7 Solutions

Pre-Algebra

Ch. 7.1 - Prob. 1C Ch. 7.1 - Prob. 2C Ch. 7.1 - Prob. 3C Ch. 7.1 - Prob. 4C Ch. 7.1 - Prob. 5C Ch. 7.1 - Prob. 6C Ch. 7.1 - Prob. 7C Ch. 7.1 - Prob. 8C Ch. 7.1 - Prob. 9C Ch. 7.1 - Prob. 1E

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