SOLUTION: Dante has a pile of coins worth 120 Php. If the number of 25-centavo coins is four more than thrice the number of 10-centavo coins, how many of each kind are there?

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Question 1105733: Dante has a pile of coins worth 120
Php. If the number of 25-centavo coins is four more than thrice the number of 10-centavo coins, how many of each kind are there?
Answer by ikleyn(52879)   (Show Source): You can put this solution on YOUR website!
.
Let x be the number of 10-centavo coins.

Then the number of 25-centavo coins is 3x+4, according to the condition.


The "value" equation is

25*(3x+4) + 10x = 12000    centavo,

75x + 100 + 10x = 12000  ====>  85x = 12000-100 = 19000  ====>  x =  = 140.


Answer.  140  of 10-centavo coins and 3*140+4 = 424  of 25-centavo coins.


Check.   140*10 + 424*25 = 120000 centavo.   ! 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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