Jeremiah has $2.10 worth of nickels and dimes. He has a total of 30 nickels and dimes altogether. Determine the number of nickels, x, and the number of dimes, y, that Jeremiah has.
We can write two equations for this...
Where d=number of dimes and n=number of nickels.. In cents the equation will be:
10d+5n=210
d+n=30
We can use the elimination method to get
10d+5n=210
10d+10n=300
Then subtract.
-5n=-90.
So the number of nickels is 18.
That makes the number of dimes 12.