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Mathematics 19 Online
OpenStudy (anonymous):

James has 33 coins in his pocket, all of them nickels and quarters. If he has a total of $3.25, how many quarters does he have?

OpenStudy (imstuck):

oooh, money problems! Not the most fun thing to do...but doable, nonetheless!

OpenStudy (imstuck):

First relate the numbers of coins in one equation, then relate the value of them in another. You will have a system of equatios then that you can solve simultaneously.

OpenStudy (imstuck):

if he has only nickels add quarters and the number of them totals 33 coins, let n be nickels and q be quarters and n + q = 33

OpenStudy (imstuck):

That's the first equation. Secondly, we know that a nickel is worth 5 cents and a quarter is worth 25 cents. He has a total of $3.25. So that will be our second equation...relating the value of the nickels and quarters to the total amount of money he has. .05n + .25q = 3.25

OpenStudy (imstuck):

Now you have a system of equations that looks like this: n + q = 33 .05n + .25q = 3.25

OpenStudy (imstuck):

Do you know what to do with a system of equations to solve it for either one of the variables?

OpenStudy (anonymous):

multipy? I have no idea :p

OpenStudy (anonymous):

12 quarters was my mistake its actually 13 quarters all together...

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