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Jose's dimes and nickels total $6.10. If the dimes were replaced by pennies then he would have $3.49. How many of each coin does he have?

 Feb 17, 2022
 #1
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Call the number of dimes  = D  = number of pennies    and the number of nickels = N 

 

So....we have these equations

 

Value of a  dime  * number of dimes  +  Value of a nickel * number of nickles =  6.10

 

.10D  +  .05N  =   6.10            (1)

 

And

 

Value of penny  *  number +  Value of a nickel * number = 3.49

 

.01 (D )  +  .05N  = 3.49             (2)

 

Subtract  (2)  from (1)

 

.09 D   = 2.61

 

D  = 2.61 / .09   =    29   = number of dimes = number of pennies

 

And to  find the number of nickels, use ( 1)

 

.10 (29) + .05N = 6.10

2.90 +.05N  = 6.10

.05N  =  6.10 - 2.90

.05N  = 3.20

N =  3.20 / .05 =   64 = number of nickels 

 

 

cool cool cool

 Feb 17, 2022

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