SOLUTION: A box of 40 coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the
Algebra.Com
Question 563774: A box of 40 coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50 How many quarters are in the box? Show work.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A box of 40 coins contains nickels, dimes, and quarters. The total value of the coins is $4.00. If there were 3 times as many nickels, half as many dimes, and 6 more quarters, the value of the coins would be $5.50 How many quarters are in the box?
---------------------------
Equations:
n + d + q = 40 coins
5n +10d +25q = 400 cents
3(5n)+5d+25(q+6) = 550 cents
------------------------------
Solve the system by any means to get:
# nickels = 12
# dimes = 24
# quarters = 4
================
Cheers,
Stan H.
RELATED QUESTIONS
A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the (answered by stanbon)
A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the (answered by oberobic)
A box of coins contains a total of 26:00 in nickels, dimes, and quarters. If there is the (answered by mananth)
A bag has 274 coins of nickels, dimes and quarters. There are twice as many nickels as... (answered by ikleyn,josgarithmetic,MathTherapy)
A collection of nickels, dimes, and quarters is retrieved from a vending machine. There... (answered by josgarithmetic,math_tutor2020,ikleyn)
A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)
A box of coins contains a total of $26.00 in nickels, dimes, and quarters. If there is... (answered by richwmiller)
While cleaning out the closet, John found a box of coins. The box contained nickels,... (answered by ptaylor)
In a collection of nickels, dimes, and quarters, there are twice as many dimes as nickels (answered by oberobic)