Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Chapter 6, Problem 19PT
To determine

To write a system of equations to represent the situation and solve.

Expert Solution & Answer
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Answer to Problem 19PT

Cost of one ream of paper: $7.5

Cost of one inkjet cartridge: $35

Explanation of Solution

Given:

Ricardo bought 24 reams of paper and 4 inkjet cartridges for $320.

Britney bought 2 reams of paper and 1 inkjet cartridge for $50.

The price of the reams of paper is same and the inkjet cartridges were all the same price.

Concept used:

Assume separate variables for each object. Form two equations with the variables. Use elimination method and solve the system of equations.

Calculation:

Let x be the cost of one ream of paper and y be the cost of one inkjet cartridge.

Richard has bought 24 reams of paper and 4 inkjet cartridges for $320.

  24x+4y=320 ……………… (1)

Britney has bought 2 reams of paper and 1 inkjet cartridges for $50.

  2x+y=50 …………………… (2)

Solve the system of equations (1) and (2)

Multiplying (2) with 12,

  24x+12y=600 ………….. (3)

Subtracting (2) from (3),

   24x+12y=60024x4y=320         8y=280

Dividing 8 on both sides,

  8y8=2808y=35

Substituting the value of y in (2),

  2x+35=50

Subtracting 35 on both sides,

  2x+3535=50352x=15

Dividing 2 on both sides,

  2x2=152x=7.5

Conclusion:

The cost of one ream of paper is $7.5 and the cost of one inkjet cartridge is $35.

Chapter 6 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47HPCh. 6.1 - Prob. 48HPCh. 6.1 - Prob. 49HPCh. 6.1 - Prob. 50HPCh. 6.1 - Prob. 51HPCh. 6.1 - Prob. 52HPCh. 6.1 - Prob. 53PFACh. 6.1 - Prob. 54PFACh. 6.1 - Prob. 55PFACh. 6.1 - Prob. 56PFACh. 6.1 - Prob. 57PFACh. 6.1 - Prob. 58PFACh. 6.1 - Prob. 59PFACh. 6.2 - Prob. 1AGPCh. 6.2 - Prob. 1BGPCh. 6.2 - Prob. 2AGPCh. 6.2 - Prob. 2BGPCh. 6.2 - Prob. 3AGPCh. 6.2 - Prob. 3BGPCh. 6.2 - Prob. 4GPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8PPSCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26PPSCh. 6.2 - Prob. 27HPCh. 6.2 - Prob. 28HPCh. 6.2 - Prob. 29HPCh. 6.2 - Prob. 30HPCh. 6.2 - Prob. 31HPCh. 6.2 - Prob. 32PFACh. 6.2 - Prob. 33PFACh. 6.2 - Prob. 34PFACh. 6.2 - Prob. 35PFACh. 6.2 - Prob. 36PFACh. 6.2 - Prob. 37PFACh. 6.2 - Prob. 38PFACh. 6.2 - Prob. 39PFACh. 6.3 - Prob. 1AGPCh. 6.3 - Prob. 1BGPCh. 6.3 - Prob. 2GPCh. 6.3 - Prob. 3GPCh. 6.3 - Prob. 4GPCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 6CYUCh. 6.3 - Prob. 7PPSCh. 6.3 - Prob. 8PPSCh. 6.3 - Prob. 9PPSCh. 6.3 - Prob. 10PPSCh. 6.3 - Prob. 11PPSCh. 6.3 - Prob. 12PPSCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34HPCh. 6.3 - Prob. 35HPCh. 6.3 - Prob. 36HPCh. 6.3 - Prob. 37HPCh. 6.3 - Prob. 38HPCh. 6.3 - Prob. 39HPCh. 6.3 - Prob. 40PFACh. 6.3 - Prob. 41PFACh. 6.3 - Prob. 42PFACh. 6.3 - Prob. 43PFACh. 6.3 - Prob. 44PFACh. 6.3 - Prob. 45PFACh. 6.3 - Prob. 46PFACh. 6.4 - Prob. 1AGPCh. 6.4 - Prob. 1BGPCh. 6.4 - Prob. 2AGPCh. 6.4 - Prob. 2BGPCh. 6.4 - Prob. 3GPCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5CYUCh. 6.4 - Prob. 6CYUCh. 6.4 - Prob. 7PPSCh. 6.4 - Prob. 8PPSCh. 6.4 - Prob. 9PPSCh. 6.4 - Prob. 10PPSCh. 6.4 - Prob. 11PPSCh. 6.4 - Prob. 12PPSCh. 6.4 - Prob. 13PPSCh. 6.4 - Prob. 14PPSCh. 6.4 - Prob. 15PPSCh. 6.4 - Prob. 16PPSCh. 6.4 - Prob. 17PPSCh. 6.4 - Prob. 18PPSCh. 6.4 - Prob. 19PPSCh. 6.4 - Prob. 20PPSCh. 6.4 - Prob. 21PPSCh. 6.4 - Prob. 22PPSCh. 6.4 - Prob. 23PPSCh. 6.4 - Prob. 24PPSCh. 6.4 - Prob. 25PPSCh. 6.4 - Prob. 26PPSCh. 6.4 - Prob. 27PPSCh. 6.4 - Prob. 28PPSCh. 6.4 - Prob. 29HPCh. 6.4 - Prob. 30HPCh. 6.4 - Prob. 31HPCh. 6.4 - Prob. 32HPCh. 6.4 - Prob. 33HPCh. 6.4 - Prob. 34PFACh. 6.4 - Prob. 35PFACh. 6.4 - Prob. 36PFACh. 6.4 - Prob. 37PFACh. 6.4 - Prob. 38PFACh. 6.5 - Prob. 1AGPCh. 6.5 - Prob. 1BGPCh. 6.5 - Prob. 1CGPCh. 6.5 - Prob. 2GPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6PPSCh. 6.5 - Prob. 7PPSCh. 6.5 - Prob. 8PPSCh. 6.5 - Prob. 9PPSCh. 6.5 - Prob. 10PPSCh. 6.5 - Prob. 11PPSCh. 6.5 - Prob. 12PPSCh. 6.5 - Prob. 13PPSCh. 6.5 - Prob. 14PPSCh. 6.5 - Prob. 15PPSCh. 6.5 - Prob. 16PPSCh. 6.5 - Prob. 17PPSCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21PPSCh. 6.5 - Prob. 22PPSCh. 6.5 - Prob. 23HPCh. 6.5 - Prob. 24HPCh. 6.5 - Prob. 25HPCh. 6.5 - Prob. 26HPCh. 6.5 - Prob. 27HPCh. 6.5 - Prob. 28HPCh. 6.5 - Prob. 29PFACh. 6.5 - Prob. 30PFACh. 6.5 - Prob. 31PFACh. 6.5 - Prob. 32PFACh. 6.5 - Prob. 33PFACh. 6.5 - Prob. 34PFACh. 6.5 - Prob. 35PFACh. 6.6 - Prob. 1AGPCh. 6.6 - Prob. 1BGPCh. 6.6 - Prob. 1CGPCh. 6.6 - Prob. 1DGPCh. 6.6 - Prob. 2AGPCh. 6.6 - Prob. 2BGPCh. 6.6 - Prob. 3GPCh. 6.6 - Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4CYUCh. 6.6 - Prob. 5CYUCh. 6.6 - Prob. 6CYUCh. 6.6 - Prob. 7CYUCh. 6.6 - Prob. 8CYUCh. 6.6 - Prob. 9CYUCh. 6.6 - Prob. 10PPSCh. 6.6 - Prob. 11PPSCh. 6.6 - Prob. 12PPSCh. 6.6 - Prob. 13PPSCh. 6.6 - Prob. 14PPSCh. 6.6 - Prob. 15PPSCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19PPSCh. 6.6 - Prob. 20PPSCh. 6.6 - Prob. 21PPSCh. 6.6 - Prob. 22PPSCh. 6.6 - Prob. 23PPSCh. 6.6 - Prob. 24PPSCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 26PPSCh. 6.6 - Prob. 27PPSCh. 6.6 - Prob. 28PPSCh. 6.6 - Prob. 29PPSCh. 6.6 - Prob. 30PPSCh. 6.6 - Prob. 31PPSCh. 6.6 - Prob. 32PPSCh. 6.6 - Prob. 33PPSCh. 6.6 - Prob. 34PPSCh. 6.6 - Prob. 35PPSCh. 6.6 - Prob. 36PPSCh. 6.6 - Prob. 37PPSCh. 6.6 - Prob. 38HPCh. 6.6 - Prob. 39HPCh. 6.6 - Prob. 40HPCh. 6.6 - Prob. 41HPCh. 6.6 - Prob. 42HPCh. 6.6 - Prob. 43HPCh. 6.6 - Prob. 44PFACh. 6.6 - Prob. 45PFACh. 6.6 - Prob. 46PFACh. 6.6 - Prob. 47PFACh. 6.6 - Prob. 48PFACh. 6 - Prob. 1MCQCh. 6 - Prob. 2MCQCh. 6 - Prob. 3MCQCh. 6 - Prob. 4MCQCh. 6 - Prob. 5MCQCh. 6 - Prob. 6MCQCh. 6 - Prob. 7MCQCh. 6 - Prob. 8MCQCh. 6 - Prob. 9MCQCh. 6 - Prob. 10MCQCh. 6 - Prob. 11MCQCh. 6 - Prob. 12MCQCh. 6 - Prob. 13MCQCh. 6 - Prob. 14MCQCh. 6 - Prob. 15MCQCh. 6 - Prob. 16MCQCh. 6 - Prob. 17MCQCh. 6 - Prob. 18MCQCh. 6 - Prob. 19MCQCh. 6 - Prob. 20MCQCh. 6 - Prob. 1SGRCh. 6 - Prob. 2SGRCh. 6 - Prob. 3SGRCh. 6 - Prob. 4SGRCh. 6 - Prob. 5SGRCh. 6 - Prob. 6SGRCh. 6 - Prob. 7SGRCh. 6 - Prob. 8SGRCh. 6 - Prob. 9SGRCh. 6 - Prob. 10SGRCh. 6 - Prob. 11SGRCh. 6 - Prob. 12SGRCh. 6 - Prob. 13SGRCh. 6 - Prob. 14SGRCh. 6 - Prob. 15SGRCh. 6 - Prob. 16SGRCh. 6 - Prob. 17SGRCh. 6 - Prob. 18SGRCh. 6 - Prob. 19SGRCh. 6 - Prob. 20SGRCh. 6 - Prob. 21SGRCh. 6 - Prob. 22SGRCh. 6 - Prob. 23SGRCh. 6 - Prob. 24SGRCh. 6 - Prob. 25SGRCh. 6 - Prob. 26SGRCh. 6 - Prob. 27SGRCh. 6 - Prob. 28SGRCh. 6 - Prob. 29SGRCh. 6 - Prob. 30SGRCh. 6 - Prob. 31SGRCh. 6 - Prob. 32SGRCh. 6 - Prob. 33SGRCh. 6 - Prob. 34SGRCh. 6 - Prob. 35SGRCh. 6 - Prob. 36SGRCh. 6 - Prob. 37SGRCh. 6 - Prob. 38SGRCh. 6 - Prob. 39SGRCh. 6 - Prob. 40SGRCh. 6 - Prob. 41SGRCh. 6 - Prob. 42SGRCh. 6 - Prob. 43SGRCh. 6 - Prob. 44SGRCh. 6 - Prob. 45SGRCh. 6 - Prob. 46SGRCh. 6 - Prob. 47SGRCh. 6 - Prob. 48SGRCh. 6 - Prob. 49SGRCh. 6 - Prob. 50SGRCh. 6 - Prob. 51SGRCh. 6 - Prob. 52SGRCh. 6 - Prob. 53SGRCh. 6 - Prob. 54SGRCh. 6 - Prob. 55SGRCh. 6 - Prob. 56SGRCh. 6 - Prob. 57SGRCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Prob. 3CRCh. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Prob. 9CRCh. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CR
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