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Elizabeth has been saving nickels and dimes. So far she has 25 coins. Her total savings is $1.65. Find the number of nickels and the number of dimes in Elizabeth’s savings.

 Mar 25, 2020
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Let the  number  of dimes  =  D

Then the number  of  nickels is  25 - D

 

So   we  have this

 

value of a nickel * number  +  value  of a dime * number  = toal value

 

.05 (25 - D)  +  .10 (D)   = 1.65     simplify

 

1.25 - .05D  + .10D  = 1.65

 

1.25 + .05D  = 1.65     subtract 1.25 from both sides

 

.05D  = .40         divide both sides  by .05

 

D = 8 = number of dimes

 

And  25 - 8  =  17   nickels

 

 

cool cool cool

 Mar 25, 2020

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