SOLUTION: Jason has $4.15 in his pocket. If he has twice as many buckles as quarters and the number of times is four less than three times his quarters, home many of each coin does Jason ha

Question 1106031: Jason has $4.15 in his pocket. If he has twice as many buckles as quarters and the number of times is four less than three times his quarters, home many of each coin does Jason have.
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
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Jason has $4.15 in his pocket. If he has twice as many nickels as quarters and the number of
dimes is four less than three times his quarters, how many of each coin does Jason have.
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Let Q be the number of quarters.

Then the number of nickels is 2Q,

while the number of dimes is (3Q-4), according to the condition.



The "value" equation is


nickels + dimes     + quarters = 415   cents,   or


5*(2Q)  + 10*(3Q-4) + 25*Q    = 415,


10*Q + 30*Q - 40 + 25*Q = 415,


65*Q = 415 + 40  ====>  65*Q = 455  ====>  Q =  = 7.



Answer.  7 quarters,  2*7 = 14 nickels  and  3*7-4 = 17 dimes.


Check.   7*25 + 14*5 + 10*17 =  415 cents.   ! Correct !

Solved.

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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.

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