SOLUTION: Jacob has $2.65 in dimes and quarters. He has 2 more dimes than quarters. How many of each does he have?

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Question 1110737: Jacob has $2.65 in dimes and quarters. He has 2 more dimes than quarters. How many of each does he have?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Jacob has $2.65 in dimes and quarters. He has 2 more dimes than quarters. How many of each does he have?
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Set the "2 more dimes" aside.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Put 2 dimes aside, for a minute.


Then group the remaining coins in sets containing 1 quarter and 1 dimes each.


Each group is worth 25+10 = 35 cents,  and the number of these groups is  %28265-20%29%2F35 = 245%2F35 = 7.


From this point, complete the solution on your own.

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It is a typical coin problem.

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
    - 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.