Bob has 60 coins consisting of quarters and dimes. The coins combined value is $9.45. Find out how many quarters there are and how many dimes there are.
Let x = the number of quarters
Let y = the number of dimes
So, the system of equations would be
x + y = 60
25x + 10y = 945 because there are 945 cents in $9.45
Those are the two linear equations that you graph
Where they intersect is the solution.
Let me know if you need further explanation.
how do you solve it
There are two ways. Algebraically and graphically. Which way do you want?
Draw the line x + y = 60
then draw the line 25x + 10y = 945
Where those two line intersect will be at a point
the (x,y) coordinates of that point will be the solution
x = the number quarters
y = the number of dimes
You're very welcome
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