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Stephanie has fourteen fewer dimes than nickels and three fewer quarters than nickels. Stephanie has a total of $11.05. How many of each coin does she have

 Apr 10, 2020
 #1
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Let  the  number of nickels  =  N

The  number of dimes  = N - 14

The number of quarters  = N - 3

 

So we  have this equation

 

.05N + .10(N - 14)  + .25(N - 3)   =  11.05     simplify

 

.05N + .10N - 1.4  + .25N - .75  =  11.05

 

.40N - 2.15  = 11.05   add 2.15  to both sides

 

.40N  = 13.2      divide both sides  by  .40

 

N = 33  =  number of nickels

N - 14  = 19 = number of dimes

N - 3 = 30  = number of quarters

 

 

cool cool cool

 Apr 10, 2020

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