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Amanda, Maybelline and Owen participated in a charity drive by selling cookies. Amanda sold

 \( {1 \over 3}\)of the total number of jars of cookies sold. Maybelline and Owen sold the remaining jars of cookies in the ratio 3:7. Owen sold 32 more jars of cookies than Amanda. If each jar was sold for $12, what was the total amount collected by the 3 children?

 Oct 13, 2021
edited by Guest  Oct 13, 2021
edited by Guest  Oct 13, 2021
edited by Guest  Oct 13, 2021
 #1
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Let Amanda sold x cookies 

 

      1/3th is x cookies

     the whole is 3x cookies

  =>  Maybelline sold = 3/10 x 2x = 8x/10 = 3x/5

 

         Owen sold = 7/10 x 2x = 7x/5

 

  given Owen sold 32 more jars than Amanda

 

  => 7x/5 = 32 + x

 

  => 2x/5 = 32      => x = 80

 

 

 

 

  Total number of cookies = 3x

                                         = 3(80)

                                         = 240.

 
Total amount collected     = 240 x 12

 

                                         = $2880

 Oct 14, 2021
 #2
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All jars of cookies sold = x

Amanda sold 1/3   or  5/15x

Maybelline sold          3/15x

Owen sold                  7/15x

"Owen sold 32 more jars of cookies than Amanda".

7/15x - 32 = 5/15x             x = 240

 

240 * 12 = 2880

 Oct 14, 2021

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