SOLUTION: I have no idea how to set up this problem! Once the equation is set up i know how to solve it. Do you have any suggestions concerning word problems? HERE'S THE EQUATION...

Question 158450: I have no idea how to set up this problem! Once the equation is set up i know how to solve it. Do you have any suggestions concerning word problems?

HERE'S THE EQUATION...
A coin purse contains an equal number of nickels, dimes and quarters. The total amount of money in the purse is 680 cents. How many nickels are in the coin purse?

Answer by Electrified_Levi(103) (Show Source): You can put this solution on YOUR website!
Hi, Hope I can help,
.
I have no idea how to set up this problem! Once the equation is set up i know how to solve it. Do you have any suggestions concerning word problems?
.
HERE'S THE EQUATION...
A coin purse contains an equal number of nickels, dimes and quarters. The total amount of money in the purse is 680 cents. How many nickels are in the coin purse?
.
This is how you set it up, since there are an equal number of each coin, we really only have one variable "x"(number of each coin
.
It tells us the value in the purse, we have to know the value of each coin(25 cents = quarter, 10 cents = dime, 5 cents = nickels)
.
To find the value of each coin that is in the purse, we multiply the value of the coin, by the number of coins(examples: five quarters will have a value of = = cents, seven nickels will have a value of = = cents)
.
In our case, the values of each coin are
.
Quarters = = =
.
Dimes = = =
.
Nickels = = =
.
If we add all of our values(25x,10x,5x) together, it will come up with a total value of 680 cents
.
Our equation = , now we can solve for "x"
.
= , to get "x" we will divide each side by "40"
.
= =
.
There are 17, of each coin,
.
you can check by replacing "x" with "17" in our equation
.
= = = ( True )
.
your answer is
.
Hope I helped,Levi
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