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(.200+x)(.200)/(.500)(.500)=6.25

Guest Apr 21, 2017
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(.200+x)(.200)/[(.500)(.500)] = 6.25

 

Note....  .200  = 1/5,  .500  = 1/2     and   6.25  = 6 + 1/4  =  25/4   ......so we have

 

( 1/5 + x) (1/5) / [ 1/2 * 1/2 ]  = 25/4

 

[ 1/25 + (1/5)x  ]  /  ( 1/4)   =  25/4        multiply both sides by 1/4

 

1/25  +  (1/5)x    =    25/16        

 

Multiply through by the common denominator, 400

 

16   + 80x    =   625       subtract 16 from both sides 

 

80x   =  609      divide both sides by 80

 

x  =  609 / 80  = 7.6125

 

 

 

cool cool cool

CPhill  Apr 21, 2017

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