SOLUTION: There are two more quarters than dimes, and as many nickels, as quarters and dimes together. The total amount of money is $3.75. How many quarters, dimes, and nickels are there?

Algebra.Com
Question 1101600: There are two more quarters than dimes, and as many nickels, as quarters and dimes together. The total amount of money is $3.75. How many quarters, dimes, and nickels are there?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
dimes=x
quarters=x+2
nickels=2x+2
sum is 3.75
.10x+.25(x+2)+0.05(2x+2)=3.75
.10x+.25x+.50+0.10x+0.10=3.75
0.45x=3.15
x=7 dimes (0.70)
x+2=9 quarters (2.25)
2x+2=16 nickels (0.80)
They add to $3.75

RELATED QUESTIONS

There are two more quarters than dimes, and as many nickels, as quarters and dimes... (answered by addingup)
Jon has quarters, dimes, and nickels in his pocket. The value of his money is $1.75.... (answered by josgarithmetic)
There is a collection of nickels, dimes, and quarters with total value of $47.60. There... (answered by ikleyn,ewatrrr)
There is a collection of nickels, dimes, and quarters with total value of $47.60. There... (answered by CubeyThePenguin)
A coin collection contains nickels, dimes, and quarters. There are twice as many dimes as (answered by ikleyn)
a coin collection contains nickels dimes quarters there are twice as many dimes as... (answered by dabanfield@earthlink.net)
A piggy bank contains nickels, dimes and quarters. There are three times as many dimes as (answered by richwmiller)
a bank has nickels, dimes, and quarters. There are fewer dimes than nickels and three... (answered by josgarithmetic,ikleyn)
In a purse are nickels, dimes and quarters amounting to $9.85. There are twice as many... (answered by josgarithmetic)