Question

Jeremiah has $2.10 worth of nickels and dimes. He has a total of 30 nickels and

dimes altogether. Graphically solve a system of equations in order to determine the
number of nickels, x, and the number of dimes, y, that Jeremiah has.

Answer 1

18 nickels 12 dimes

Explanation:

set up what is given as an equation.

The value of a nickel (x) is 5, a dime(y) is 10; the total value is 210

So 5x + 10y = 210

If you have to graph that, Solve for y and you have a y=mx+b to help.

you are given the total 30 altogether

So x+y=30 if you have to graph that, rearrange to y=-x+30

Where the 2 lines cross is your solution: (18,12)

Check 5(18) + 10(12) = 210

True: 90 + 120 = 210 Just convert that to Dollars and cents by adding the $ and the decimal point.