SOLUTION: If Damien has 12 nickels and dimes in his pocket, and they have a combined value of 80 cents, how many of each coin does he have? dimes nickels

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Question 1105490: If Damien has 12 nickels and dimes in his pocket, and they have a combined value of 80 cents, how many of each coin does he have?
dimes
nickels
Answer by ikleyn(52874) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let N be the number of nickels.

Then 12-N is the number of dimes.


Nickels contribute 5N        cents to the total.

Dimes   contribute 10*(12-N) cents to the total.


The "money" equation for the total is

5N + 10*(12-N) = 80   cents

5N + 120 - 10N = 80

-5N = 80-120 = -40  ====>  N = %28-40%29%2F%28-5%29 = 8.


Answer.  8 nickels and  12-8 = 4 dimes.


Check.   8*5 + 4*10 = 80 cents.   ! Correct !

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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.