SOLUTION: Solve the following using a system of equations: Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters and how many dimes does

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Question 418862: Solve the following using a system of equations:
Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters and how many dimes does she have?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of dimes
Let = number of quarters
given:
(1)
(2)
Multiply (1) by and
subtract (1) from (2)
(2) (in cents)
(1)


and



The number of dimes is 73
The number of quarters is 27
check:
(2)
(2)


OK

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