SOLUTION: Mr. Muehlenkamp has $5.00 in quarters and nickels, having 5 times as many nickels as quarters. How many coins of each kind does he have?

Question 1059093: Mr. Muehlenkamp has $5.00 in quarters and nickels, having 5 times as many nickels as quarters. How many coins of each kind does he have?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
Mr. Muehlenkamp has $5.00 in quarters and nickels, having 5 times as many nickels as quarters. How many coins of each kind does he have?
~~~~~~~~~~~~~~~~~~~~~~~

You can group the coins in sets containing {5 nickels,1 quarter} each.

Each set is worth 5*5+25 = 50 cents, correct?

Then how many such sets are there in the collection?

Calculate and then derive all consequences from this fact. 

When you complete it, you can sent your "Thanks" to me.

For coin problems and their detailed solutions see the lessons in this site:
    - Coin problems
    - More Coin problems
    - Solving coin problems without using equations
    - Kevin and Randy Muise have a jar containing coins
    - Typical coin problems from the archive
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem

Read them attentively and become an expert in this field.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Coin problems".

RELATED QUESTIONS
Olivia has $3.30 in her bank in nickels, dimes, and quarters. If there are thre times as... (answered by josgarithmetic)

letty has $5 in nickels, dimes and quarters. She has 3 times as many nickels as dimes.... (answered by josgarithmetic)

Lisa has $5 in nickels, dimes, and quarters. She has 3 times as many nickels as dimes.... (answered by FrankM)

Sally has 100 coins all of which are dimes, nickels, and quarters. She has $13.00 in... (answered by CubeyThePenguin)

in a child's coin bank, there is a collection of nickels, dimes, and quarters that amount (answered by mananth)

Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels (answered by stanbon,killahzsmilez)

Jonathan has $7.00 in nickels, dimes, and quarters. He has twice as many dimes as... (answered by checkley71)

Sara has a collection of nickels, dimes and quarters worth $30.75. she has 15 more dimes... (answered by mananth)

Anna preston has $2.80 in nickels and quarters. She has twice as many nickels as... (answered by ikleyn)