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  A DJ has a total of 1075 dance, rock, and country songs on her system. The dance selection is three times the size of the rock selection. The country selection has 105 more songs than the rock selection. How many songs on the system are dance? rock? country?

 Feb 11, 2021
 #1
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Let R  be  the number of rock selections

Then 3R   = the number  of   dance selections

And  R +  105  =  the number of country  selections

 

So

 

R  +  3R  +  R  +  105  =  1075      simplify

 

5R  +  105  = 1075            subtract 105 from both sides

 

5R  =   970        divide both sides  by  5

 

R  =   194  rock selections

 

3R  = 3(194)   = 582  dance selections

 

R + 105  =   194 + 105  =  299  country selections

 

 

cool cool cool

 Feb 11, 2021

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