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?

graphically

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

Thank you

You're very welcome

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