Select the set of equations that represents the following situation: The cost of six CDs and twelve DVDs is
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# Select the set of equations that represents the following situation: The cost of six CDs and twelve DVDs is

[From: ] [author: ] [Date: 11-05-24] [Hit: ]
26; 13x + 12y = 140.116x • 12y = 73.26; 12x • 13y = 140.116x • 12y = 73.26; 13x • 12y = 140.116x + 12y = 73.......
Select the set of equations that represents the following situation: The cost of six CDs and twelve DVDs is \$73.26; and the cost of thirteen DVDs and twelve CDs is \$140.11. How much do a CD and a DVD cost?

6x + 12y = 73.26; 13x + 12y = 140.11
6x • 12y = 73.26; 12x • 13y = 140.11
6x • 12y = 73.26; 13x • 12y = 140.11
6x + 12y = 73.26; 12x + 13y = 140.11

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6x + 12y = 73.26; 12x + 13y = 140.11

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6x + 12y = 73.26.........(i) 12x + 13y = 140.11.....(ii)
Where x is the number of C.D's and y is the number of DVD's
Subtracting (ii) from (i)×2 gives
11y=6.41
→y=\$0.58
from (i) x= (73.26−12y)/6
=(73.26−12×0.58)/6 =\$11.05
Cost of a CD =\$11.05
Cost of a DVD =\$0.58

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6x + 12y = 73.26; 12x + 13y = 140.11
Using Simultaneous Equations
CD = \$11.04
DVD = \$0.58
1
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