(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have nickels, dimes and quarters in a jar. There are 20 coins altogether and exactly twice as many dimes as nickels. The total value of the coins is $3.00

Find the number of coins of each type. Then find all possible combinations of 20 coins (nickels, dimes and quarters) that will make exactly $3.00

2. Relevant equations

everything is in cents

N + D + Q = 20

-N+ 2D = 0 ---> from 2D = N --> "twice as many dimes as nickels"

5N + 10D + 25Q = 300

3. The attempt at a solution

I put this into a matrix form

1 1 1 20

1 2 0 0

5 10 25 300

reduced it to:

1 0 0 16

0 1 0 -8

0 0 1 12

Funny thing is I have -8 dimes?

So I think I don't know how to put this statement into an equation:

"twice as many dimes as nickels"

As for the number of possible combinations of 20 coins, I really don't know how to start that in a matrix form.

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# Homework Help: Basic Word Problem

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