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A woman has 26 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.45, how many dimes and how many quarters does she have?

 Feb 21, 2020
 #1
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Let  the  number of  dimes  = x

Let the number of quarters  = 26  -x

 

And

 

Number of dimes * Value of each  + Number of quarters * value each  = total value of the coins

 

So...

 

x * .10   +  (26 - x) * .25  =  5.45     simplify

 

.10x  - .25x + 6.50  =  5.45         subtract  6.50  from both sides  and simplify the left side

 

-.15x  = -1.05    divide  both sides by  -.15

 

x =  7   =  number of    dimes

 

26 -  x  = 26  - 7   = 19  = number of quarters

 

 

 

cool cool cool 

 Feb 21, 2020

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