SOLUTION: A collection of 15 coins is worth $1.00. If the coins are dimes and nickels, how many of each coin are there? I have only been taught to do it when you are told that one of th

Question 930741: A collection of 15 coins is worth $1.00. If the coins are dimes and nickels, how many of each coin are there?
I have only been taught to do it when you are told that one of the coins has more than the other. Not sure how to set this up
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

A collection of 15 coins is worth $1.00. If the coins are dimes and nickels, how many of each coin are there?
I have only been taught to do it when you are told that one of the coins has more than the other. Not sure how to set this up

Method 1: Solving for 2 unknowns

Let number of dimes and number of nickels, be D and N, respectively. Then we have:

   D +     N = 15 --------- Denomination-number equation

.1D + .05N =  1 --------- Denomination-value equation

Solve for D or N and substitute solved variable into either equation to determine value of other variable



Method 2: Solving for 1 unknown

Let number of dimes, be D

Then number of nickels = 15 - D. We now have:

.1D + .05(15 - D) = 1 -------- Value equation

Solve for D, and then SUBTRACT that value from 15 (total number of coins) to determine number of nickels



Then do a check!! 

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