Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
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Chapter 7.5, Problem 23PPS
To determine

ToDetermineThe question asked in the below problem sum:

The cost, including a 6.75% sales tax, of a digital home theater system with a 40-inch high definition television is $2668.75 . What is the original cost of the television and theater system?

Expert Solution & Answer
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Answer to Problem 23PPS

The original cost of the television and theater system $2500

Explanation of Solution

Given:

The cost, including a 6.75% sales tax, of a digital home theater system with a 40-inch high definition television is $2668.75 .

Concept Used:

  Sales tax = Total Cost - Original Price

Percent of sales tax is equal to the difference of total cost and original price divided by the original price multiplied by 100

  Sales tax % = (Total Cost - Original PriceOriginal Price)×100

Calculation:

The cost, including a 6.75% sales tax, of a digital home theater system with a 40-inch high definition television is $2668.75 .

Let the original cost of the television and theater system be x

The Sales tax % = (Total Cost - Original PriceOriginal Price)×100

i.e., 6.75=(2668.75x x)×100

  6.75=(2668.75x x)×1006.75x=(2668.75x)×1006.75x=266875100x6.75x+100x=266875

  106.75x=266875x=266875106.75x=2668750010675x=2500

Therefore, the original cost of the television and theater system $2500

Conclusion:

The original cost of the television and theater system $2500

Chapter 7 Solutions

Pre-Algebra Student Edition

Ch. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11PPSCh. 7.1 - Prob. 12PPSCh. 7.1 - Prob. 13PPSCh. 7.1 - Prob. 14PPSCh. 7.1 - Prob. 15PPSCh. 7.1 - Prob. 16PPSCh. 7.1 - Prob. 17PPSCh. 7.1 - Prob. 18PPSCh. 7.1 - Prob. 19PPSCh. 7.1 - Prob. 20PPSCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45HPCh. 7.1 - Prob. 46HPCh. 7.1 - Prob. 47HPCh. 7.1 - Prob. 48HPCh. 7.1 - Prob. 49HPCh. 7.1 - Prob. 50HPCh. 7.1 - Prob. 51STPCh. 7.1 - Prob. 52STPCh. 7.1 - Prob. 53STPCh. 7.1 - Prob. 54STPCh. 7.1 - Prob. 55SRCh. 7.1 - Prob. 56SRCh. 7.1 - Prob. 57SRCh. 7.1 - Prob. 58SRCh. 7.1 - Prob. 59SRCh. 7.1 - Prob. 60SRCh. 7.1 - Prob. 61SRCh. 7.1 - Prob. 62SRCh. 7.1 - Prob. 63SCh. 7.1 - Prob. 64SCh. 7.1 - Prob. 65SCh. 7.1 - Prob. 66SCh. 7.2 - Prob. 1AGPCh. 7.2 - Prob. 1BGPCh. 7.2 - Prob. 2AGPCh. 7.2 - Prob. 2BGPCh. 7.2 - Prob. 3AGPCh. 7.2 - Prob. 3BGPCh. 7.2 - Prob. 3CGPCh. 7.2 - Prob. 4AGPCh. 7.2 - Prob. 4BGPCh. 7.2 - Prob. 4CGPCh. 7.2 - Prob. 4DGPCh. 7.2 - Prob. 5GPCh. 7.2 - Prob. 1CYUCh. 7.2 - Prob. 2CYUCh. 7.2 - Prob. 3CYUCh. 7.2 - Prob. 4CYUCh. 7.2 - Prob. 5CYUCh. 7.2 - Prob. 6CYUCh. 7.2 - Prob. 7CYUCh. 7.2 - Prob. 8CYUCh. 7.2 - Prob. 9CYUCh. 7.2 - Prob. 10PPSCh. 7.2 - Prob. 11PPSCh. 7.2 - Prob. 12PPSCh. 7.2 - Prob. 13PPSCh. 7.2 - Prob. 14PPSCh. 7.2 - Prob. 15PPSCh. 7.2 - Prob. 16PPSCh. 7.2 - Prob. 17PPSCh. 7.2 - Prob. 18PPSCh. 7.2 - Prob. 19PPSCh. 7.2 - Prob. 20PPSCh. 7.2 - Prob. 21PPSCh. 7.2 - Prob. 22PPSCh. 7.2 - 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Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9PPSCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30HPCh. 7.5 - Prob. 31HPCh. 7.5 - Prob. 32HPCh. 7.5 - Prob. 33HPCh. 7.5 - Prob. 34HPCh. 7.5 - Prob. 35STPCh. 7.5 - Prob. 36STPCh. 7.5 - Prob. 37STPCh. 7.5 - Prob. 38SRCh. 7.5 - Prob. 39SRCh. 7.5 - Prob. 40SRCh. 7.5 - Prob. 41SRCh. 7.5 - Prob. 42SRCh. 7.5 - Prob. 43SRCh. 7.5 - Prob. 44SRCh. 7.5 - Prob. 45SRCh. 7.5 - Prob. 46SRCh. 7.5 - Prob. 47SRCh. 7.5 - Prob. 48SCh. 7.5 - Prob. 49SCh. 7.5 - Prob. 50SCh. 7.5 - Prob. 51SCh. 7.5 - Prob. 52SCh. 7.5 - Prob. 53SCh. 7.5 - Prob. 54SCh. 7.5 - Prob. 55SCh. 7.6 - Prob. 1GPCh. 7.6 - Prob. 2GPCh. 7.6 - Prob. 3GPCh. 7.6 - Prob. 4GPCh. 7.6 - Prob. 1CYUCh. 7.6 - Prob. 2CYUCh. 7.6 - Prob. 3CYUCh. 7.6 - Prob. 4CYUCh. 7.6 - Prob. 5CYUCh. 7.6 - Prob. 6CYUCh. 7.6 - Prob. 7PPSCh. 7.6 - Prob. 8PPSCh. 7.6 - Prob. 9PPSCh. 7.6 - Prob. 10PPSCh. 7.6 - Prob. 11PPSCh. 7.6 - Prob. 12PPSCh. 7.6 - Prob. 13PPSCh. 7.6 - Prob. 14PPSCh. 7.6 - Prob. 15PPSCh. 7.6 - Prob. 16PPSCh. 7.6 - Prob. 17PPSCh. 7.6 - Prob. 18PPSCh. 7.6 - Prob. 19PPSCh. 7.6 - Prob. 20PPSCh. 7.6 - Prob. 21PPSCh. 7.6 - Prob. 22PPSCh. 7.6 - Prob. 23PPSCh. 7.6 - Prob. 24PPSCh. 7.6 - Prob. 25PPSCh. 7.6 - Prob. 26PPSCh. 7.6 - Prob. 27PPSCh. 7.6 - Prob. 28PPSCh. 7.6 - Prob. 29PPSCh. 7.6 - Prob. 30PPSCh. 7.6 - Prob. 31PPSCh. 7.6 - Prob. 32PPSCh. 7.6 - Prob. 33PPSCh. 7.6 - Prob. 34PPSCh. 7.6 - Prob. 35HPCh. 7.6 - Prob. 36HPCh. 7.6 - Prob. 37HPCh. 7.6 - Prob. 38HPCh. 7.6 - Prob. 39HPCh. 7.6 - Prob. 40STPCh. 7.6 - Prob. 41STPCh. 7.6 - Prob. 42STPCh. 7.6 - Prob. 43STPCh. 7.6 - Prob. 44SRCh. 7.6 - Prob. 45SRCh. 7.6 - Prob. 46SRCh. 7.6 - Prob. 47SRCh. 7.6 - Prob. 48SRCh. 7.6 - Prob. 49SRCh. 7.6 - Prob. 50SRCh. 7.6 - Prob. 51SRCh. 7.6 - Prob. 52SRCh. 7.6 - Prob. 53SCh. 7.6 - Prob. 54SCh. 7.6 - Prob. 55SCh. 7.6 - Prob. 56SCh. 7.7 - Prob. 1AGPCh. 7.7 - Prob. 1BGPCh. 7.7 - Prob. 2GPCh. 7.7 - Prob. 3GPCh. 7.7 - Prob. 1CYUCh. 7.7 - Prob. 2CYUCh. 7.7 - Prob. 3CYUCh. 7.7 - Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9CYUCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21PPSCh. 7.7 - Prob. 22PPSCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30PPSCh. 7.7 - Prob. 31PPSCh. 7.7 - Prob. 32PPSCh. 7.7 - Prob. 33HPCh. 7.7 - Prob. 34HPCh. 7.7 - Prob. 35HPCh. 7.7 - Prob. 36HPCh. 7.7 - Prob. 37HPCh. 7.7 - Prob. 38STPCh. 7.7 - Prob. 39STPCh. 7.7 - Prob. 40STPCh. 7.7 - Prob. 41STPCh. 7.7 - Prob. 42SRCh. 7.7 - Prob. 43SRCh. 7.7 - Prob. 44SRCh. 7.7 - Prob. 45SRCh. 7.7 - Prob. 46SRCh. 7.7 - Prob. 47SRCh. 7.7 - Prob. 48SRCh. 7.7 - Prob. 49SRCh. 7.7 - Prob. 50SCh. 7.7 - Prob. 51SCh. 7.7 - Prob. 52SCh. 7.8 - Prob. 1GPCh. 7.8 - Prob. 2GPCh. 7.8 - Prob. 3GPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3CYUCh. 7.8 - Prob. 4PPSCh. 7.8 - Prob. 5PPSCh. 7.8 - Prob. 6PPSCh. 7.8 - Prob. 7PPSCh. 7.8 - Prob. 8PPSCh. 7.8 - Prob. 9PPSCh. 7.8 - Prob. 10PPSCh. 7.8 - Prob. 11PPSCh. 7.8 - Prob. 12PPSCh. 7.8 - Prob. 13PPSCh. 7.8 - Prob. 14PPSCh. 7.8 - Prob. 15HPCh. 7.8 - Prob. 16HPCh. 7.8 - Prob. 17HPCh. 7.8 - Prob. 18HPCh. 7.8 - Prob. 19HPCh. 7.8 - Prob. 20STPCh. 7.8 - Prob. 21STPCh. 7.8 - Prob. 22STPCh. 7.8 - Prob. 23STPCh. 7.8 - Prob. 24SRCh. 7.8 - Prob. 25SRCh. 7.8 - Prob. 26SRCh. 7.8 - Prob. 27SCh. 7.8 - Prob. 28SCh. 7.8 - Prob. 29SCh. 7 - Prob. 1QCCh. 7 - Prob. 2QCCh. 7 - Prob. 3QCCh. 7 - Prob. 4QCCh. 7 - Prob. 5QCCh. 7 - Prob. 6QCCh. 7 - Prob. 7QCCh. 7 - Prob. 8QCCh. 7 - Prob. 9QCCh. 7 - Prob. 10QCCh. 7 - Prob. 11QCCh. 7 - Prob. 12QCCh. 7 - Prob. 13QCCh. 7 - Prob. 14QCCh. 7 - Prob. 15QCCh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 28MCQCh. 7 - Prob. 29MCQCh. 7 - Prob. 30MCQCh. 7 - Prob. 31MCQCh. 7 - Prob. 32MCQCh. 7 - Prob. 33MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - 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Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 1ECh. 7 - Prob. 2ECh. 7 - Prob. 3ECh. 7 - Prob. 4ECh. 7 - Prob. 1STPCh. 7 - Prob. 2STPCh. 7 - Prob. 3STPCh. 7 - Prob. 4STPCh. 7 - Prob. 5STPCh. 7 - Prob. 6STPCh. 7 - Prob. 7STPCh. 7 - Prob. 8STPCh. 7 - Prob. 9STPCh. 7 - Prob. 10STPCh. 7 - Prob. 11STPCh. 7 - Prob. 12STPCh. 7 - 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