A recording company is to release 90 new CDs in the categories of​ rock, country,​ jazz, and classical. If twice the number of rock CDs is to equal three times the number of country CDs and if the number of jazz CDs is to equal the number of classical​ CDs, how can the CDs be distributed among the four​ types? (Let x be the number of rock​ CDs, y the number of country​ CDs, z the number of jazz​ CDs, and w the number of classical CDs. Let w be the​ parameter.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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A recording company is to release 90 new CDs in the categories of​ rock, country,​ jazz, and classical. If twice the number of rock CDs is to equal three times the number of country CDs and if the number of jazz CDs is to equal the number of classical​ CDs, how can the CDs be distributed among the four​ types? (Let x be the number of rock​ CDs, y the number of country​ CDs, z the number of jazz​ CDs, and w the number of classical CDs. Let w be the​ parameter.)

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O A. x=54-6w/5, y = 36-4w/5, z=w, 0≤w≤45
O B. x=45-2w, y=45-2w/5, zw, 0≤w≤45
OC. x=54-w, y = 24-w, z=w, 0≤w≤ 30
O D. x=45-3w/5, y = 30-2w/5, z=w, 0≤w≤39
Transcribed Image Text:O A. x=54-6w/5, y = 36-4w/5, z=w, 0≤w≤45 O B. x=45-2w, y=45-2w/5, zw, 0≤w≤45 OC. x=54-w, y = 24-w, z=w, 0≤w≤ 30 O D. x=45-3w/5, y = 30-2w/5, z=w, 0≤w≤39
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