SOLUTION: There are 80 coins in a jar - all quarts and dimes. The jar has $12.05. how many quarters are there in the jar

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Question 1048748: There are 80 coins in a jar - all quarts and dimes. The jar has $12.05. how many quarters are there in the jar
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Give the count of each coin its own variable. Account for how many coins and account for how much money. You will have two linear equations in two unknown variables. SIMPLIFY the system and solve the system.

Here is only a part-way solution and is unfinished.

d, how many dimes
q, how many quarters

system%28d%2Bq=80%2C0.1d%2B0.25q=12.05%29

You might be tempted to try substitution, but you really should be sure to simplify the money count equation so that the coefficients are WHOLE numbers, and then try to use Elimination Method to solve the system (or you could still choose Substitution method).