SOLUTION: How do you do word problems with coin

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Question 1085759: How do you do word problems with coin

Found 2 solutions by math_helper, ikleyn:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Usually you look for an equation involving the number of different coins.
Next you look for a 2nd equation involving the VALUE of the different coins (weigh each number of coins by its individual value).
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Example: I have 20 coins total. There are only nickels and dimes. The total value of the coins is $1.90.
How many of each coin do I have?

Let d = number of dimes
Let n = number of nickels

d+n = 20 (from 20 coins total)
10d + 5n = 190 (this eqn comes from the total value given, notice how I weigh each coin type, units are in cents)

d = 20-n (from rearranging the first eqn)
10(20-n) + 5n = 190 (substituted for "d" in 2nd eqn)
200 - 10n + 5n = 190
10 = 5n (subtracted 190 from both sides, added 10n to both sides)
10/5 = n (divided both sides by 5)
2 = n
n=2 —> implies —> d=20-2 = 18
———
Answer: 18 dimes, 2 nickels.
———
Always check: 18*10 + 2*5 = 180 + 10 = 190 (= $1.90) , so we're good.

Answer by ikleyn(52788) 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
    - 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".