SOLUTION: Sherlock is hunting a theif who has stolen 40 coins, in quarters, dimes, and nickels. He has figured out the coins add up to $7.25. There are 10 more quarters then there are dime

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Question 1074577: Sherlock is hunting a theif who has stolen 40 coins, in quarters, dimes, and nickels. He has figured out the coins add up to $7.25. There are 10 more quarters then there are dimes and nickels combined. How many of each coin where stolen?
Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!
.
N = # of nickels.
D = # of dimes.

Then the number of quarters is N + D + 10.

Equations:

 N +   D +   (N+D+10) =  40,     (1)   (coins)
5N + 10D + 25(N+D+10) = 725      (2)   (cents)


I just explained to you how to solve the problem: 


   - write the system in the standard for;
   - simplify it;
   - then apply the substitution method.

I assume that you are smart enough (by solving the problems of the Sherlock level !), so I hope you will be able to complete it on your own.


The links to the solutions of previous similar problems:
https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1074575.html
https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1074575.html

and

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1074578.html
https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.1074578.html



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