SOLUTION: kevin and randy have a jar containing 53 coins all of which are quarters and nickels. The total value of the coins in the jar is $9.85. How many of each type of coin do they have?

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Question 887950: kevin and randy have a jar containing 53 coins all of which are quarters and nickels. The total value of the coins in the jar is $9.85. How many of each type of coin do they have?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!

n and q for counts of nickels and quarters.

n%2Bq=53 and 0.05%2An%2B0.25q=9.85
The money equation
5n%2B25q=985
highlight_green%28n%2B5q=197%29
and
highlight_green%28n%2Bq=53%29

Subtract the coin count equation from the simplified money count equation and quickly get
a value for q.
Use that to get n.

q=36