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:
We can use the elimination method to get
So the number of nickels is 18.
That makes the number of dimes 12.
In total, he has 210 cents
n + d = 30
5n + 10d = 210
multiply 5 to the first equation
then minus the first from the second one
you get 60 = 5d
12 dimes or 12 y
18 nickels or 18 x