SOLUTION: We have a jar of coins, all nickels and quarters. All together, we have 158 coins, and the total value of all coins in the jar is $ 13.9. How many nickels are there in the jar?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: We have a jar of coins, all nickels and quarters. All together, we have 158 coins, and the total value of all coins in the jar is $ 13.9. How many nickels are there in the jar?       Log On


   

Question 1202626: We have a jar of coins, all nickels and quarters. All together, we have 158 coins, and the total value of all coins in the jar is $ 13.9. How many nickels are there in the jar?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Write the total money equation in the form

    5N + 25*(158-N) = 1390  cents,


and solve it for N, the number of nickels.


ANSWER.  128 nickels.


CHECK.   5*128 + 25*(158-128) = 1390 cents, total.   ! correct !

Solved.

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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
    - Three methods for solving standard (typical) coin word problems
    - More complicated coin problems
    - Advanced coin problems
    - Solving coin problems mentally by grouping without using equations
    - Non-typical coin problems
    - Swapping dimes and quarters
    - Santa Claus helps solving coin problem

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 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".


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.