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
Algebra.Com
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) (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)
RELATED QUESTIONS
In my spare change drawer, I have a lot of coins. I have some quarters and some nickels.... (answered by stanbon)
In your pocket, you have a handful of change in nickels, dimes, and quarters that totals... (answered by htmentor)
I have some change (pennies, nickels, and dimes) in my pocket. Fourteen of the coins are... (answered by ankor@dixie-net.com,MathTherapy)
A bag contains​ pennies, nickels,​ dimes, and quarters. There are 50 coins in all. Of (answered by ikleyn)
The value (in cents) of the change in a purse that contains twice as many nickels as... (answered by josgarithmetic,greenestamps)
Tim has $5.03 in quarters, nickels, dimes, pennies, and half-dollars in a desk drawer.... (answered by ankor@dixie-net.com)
A family has a coin jar that is now full. The children count the change and calculate the (answered by Edwin McCravy)
A jar of change has $57.25 in it. There are 2 dimes more than 3 times the amount of... (answered by josmiceli)
A family has a coin jar that is now full. The children count the change and calculate the (answered by lwsshak3,mananth)