SOLUTION: Hey I need help with this word problem that has to do with algebra and finance: Shannon had five times as many quarters as dimes in her jar. if the total value of the dimes and qu

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Question 157614: Hey I need help with this word problem that has to do with algebra and finance:
Shannon had five times as many quarters as dimes in her jar. if the total value of the dimes and quarters are equal $16.20, how many of each kind of coin did she have in the jar?
oh and please define the variable.
sorry this is such a long question but ive thought long and hard and just cant thing of a way to solve it while defining the variable and answering it in a therefor statement
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Shannon had five times as many quarters as dimes in her jar. if the total value of the dimes and quarters are equal $16.20, how many of each kind of coin did she have in the jar?
.
Let d = number of dimes in her jar
then from "Shannon had five times as many quarters as dimes" we get
5d = number of quarters in her jar
.
Because the total is $16.20 we get our equation:
.10d + .25(5d) = 16.20
.10d + 1.25d = 16.20
1.35d = 16.20
d = 16.20/1.35
d = 12 (number of dimes)
.
5d = 5*12) = 60 (number of quarters)