SOLUTION: I have a pocket full of change composed of pennies, nickels, dimes, and quarters. There are four more nickels then pennies.there are twice as many quarters as pennies and four less

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Question 17286: I have a pocket full of change composed of pennies, nickels, dimes, and quarters. There are four more nickels then pennies.there are twice as many quarters as pennies and four less dimes than quarters.All of the coins add up to 3.60. How many of each type of coins do i have?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let # of pennies be "x".
Then # of nickels = "x+4"
And # of quarters = 2x
And # of dimes = 2x-4
Value of pennies is (1)x cents
Value of nickels is (5)(x+4) = 5x+20 cents
Value of quarters = (25)2x = 50x cents
Value of dimes is (10)(2x-4)= 20x-40 cents
Equation:
Value of the coins is 360 cents
x + 5x+ 20+ 50x + 20x -40 = 360
76x - 20 = 360
76x = 380
x = 5 (number of pennies)
x + 4 = 9 (number of nickels)
2x = 10(number of quarters)
2x-4 = 6 (number of dimes)