SOLUTION: In the math department water-cooler fund there are 48 quarters and nickels in all, with a total value of $6.00. Find how many quarters and how many nickels are in the fund.

Question 1106096: In the math department water-cooler fund there are 48 quarters and nickels in all, with a total value of $6.00. Find how many quarters and how many nickels are in the fund.
Answer by ikleyn(52914) (Show Source): You can put this solution on YOUR website!
.

25Q + 5*(48-Q) = 600


25Q + 240 - 5Q = 600


20Q = 600 - 240 = 360  ====>  Q =  = 18.


Answer.  18 quarters and (48-18) = 30 nickels.


Check.   18*25 + 30*5 = 600  cents.   ! Correct !

------------
There is entire bunch of lessons on coin problems
    - 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
    - Three methods for solving standard (typical) coin word problems
    - More complicated coin problems
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem
    - OVERVIEW of lessons on coin word problems
in this site.

You will find there the lessons for all levels - from introductory to advanced,
and for all methods used - from one equation to two equations and even without equations.

Read them and become an expert in solution of coin problems.

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".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.

RELATED QUESTIONS
In the math department water-cooler fund, there are 48 quarters and nickels, with a total (answered by Fombitz)

latrell has a jar containing quarters and nickels. there are 21 coins all together. the... (answered by Fombitz)

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 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)

You have quarters and nickels in your pocket with a total value of $1.10. There are more... (answered by TimothyLamb)

A jar contains nickels, dimes, and quarters. There are 105 coins with a total value of... (answered by josmiceli)