SOLUTION: A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is 160 cents. How many pennies does the purse contain?

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Question 1164384: A change purse contains an equal number of pennies, nickels, and dimes. The total value of the coins is
160
cents. How many pennies does the purse contain?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

You may GROUP coins, by placing one penny, one nickel and one dime in each group.


Each group is worth then 1 + 5 + 10 = 16 cents.


Having the total of 160 cents  MEANS  that you have  160%2F16 = 10  such groups.


From this point, there is only one step to get the 


ANSWER.  10 pennies, 10 nickels and 10 dimes.


OR 

    x + 5x + 10x = 160

    16x          = 160

      x          = 160/16 = 10,

and you get the same answer.

Solved.

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On coin problems,  see the lessons
    - 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
    - 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.

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 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.