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Eileen saves dimes and quarters. She has 40 coins, which total $6.55, in her bank. How many of each coin does she have?

 Mar 26, 2020
 #1
avatar+111330 
+1

Let x  be  the number of dimes

 

Then  40  - x   = the number of  quarters

 

So

 

number of dimes * value each  +   number of quarters * value each =   total value

 

      x  *   .10      +    (40 - x)  * .25    =    6.55    simplify

 

   .10x   + 40 * .25  - .25x   =  6.55

 

   .10x  -  10   - .25x  =   6.55

 

     -.15x  =    6.55   -10

 

      -.15x    =  -3.45     divide both sides  by  -.15

 

          x  = 23  =number of dimes

 

        40  - 23  =   17 = number of quarters

 

 

 

cool cool cool

 Mar 26, 2020
 #2
avatar+1970 
0

Nice, Chris!

CalTheGreat  Mar 26, 2020

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