SOLUTION: Bob has 16 coins totaling $ 1.20 . If he only has dimes and nickels, how many of each coin does he have?

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Question 1156015: Bob has
16
coins totaling
$
1.20
. If he only has dimes and nickels, how many of each coin does he have?
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

N nickels and (16-N) dimes.


The money equation for the total


    5*N + 10*(16-N) = 120   cents


Simplifying

    5N + 160 - 10N = 120

    -5N + 160 = 120

    160 - 120 = 5N

      40      = 5N

      N       = 40/5 = 8.


ANSWER.  8 nickels and the rest  16-8 = 8 coins are dimes.


CHECK.   8*5 + 8*10 = 40 + 80 = 120 cents.   ! Precisely 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
    - Solving coin problems mentally by grouping without using equations
    - Non-typical coin problems
    - Santa Claus helps solving coin problem
    - OVERVIEW of lessons on coin word problems

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.

A convenient place to quickly observe these lessons from a  "bird flight height"  (a top view)  is the last lesson in the list.

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.