SOLUTION: Miguel's coin collection consists of dimes and quarters. If he has 53 coins that are worth $7.85, how many of each type of coin does he have?

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Question 1072615: Miguel's coin collection consists of dimes and quarters. If he has 53 coins that are worth $7.85, how many of each type of coin does he have?
Found 2 solutions by jorel1380, ikleyn:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let d be the amount of dimes in the collection; and q be the amount of quarters. Then:
d+q=53
d=53-q
So:
25q+10(53-q)=785
15q+530=785
15q=255
q=17
d=36
There are 17 quarters and 36 dimes in the collection. ☺☺☺☺

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
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
    - More complicated coin problems
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem
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".