Let the number of nickels and dimes be N, and D, respectively

Since there are a total of 25 nickels and dimes, then we can say that: N + D = 25 ------- eq (i)

We already know that from the 220 cents, or $2.20, pennies make up 20 cents, or $0.20, so the value

of the 25 nickels and dimes is 200 cents, or $2

Therefore, value equation is: .05N + .1D = 2 ------ eq (ii)

If decimals are a problem, then you can multiply equation (ii) by 20 to get: N + 2D = 40 ------ eq (ii)



The 2 equations, thus formed are: 

N + D = 25 ------ eq (i)

N + 2D = 40 ----- eq (ii)

- D = - 15 ------ Subtracting eq (ii) from eq (i)

D, or number of dimes = , or 

N + 15 = 25 ------ Substituting 15 for D in eq (i)

N, or number of nickels = 25 - 15, or 

You can do the check!! 



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Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
 It is really

20 pennies + 25 other coins (nickels and dimes) = 220 cents = $2.20 .

= number of nickels

= number of dimes

You know that the combined total of nickels and dimes is 23 coins, so

 .

That is one equation.

You know that the value (in cents) ofthe whole amount of coins in the piggy banks is

 <-->  <--> 

and dividing both sides of the equal sign by  you get

 <-->  <--> 

That is a second equation.

you have a system of equations: 

There many ways to solve it, but subtracting the first equation from the second, we get  , and

 ---> 

 

IF you do not know what a system of equations is (or how to solve it),

you would start with  --->  .

Then 













 .

That is the number of dimes, and you know that the number of nickels is

 . 

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