Answer :
Hillary has 7 quarters and 18 nickels. Hillary has $ 3.85 $3.85 in quarters and nickles in her car. The number of nickles is eleven more than the number of quarters.
Let's assume the number of quarters Hillary has is represented by 'q'. Since each quarter is worth $0.25, the value of quarters can be calculated as 0.25q. According to the given information, the number of nickels is eleven more than the number of quarters. We can represent the number of nickels as 'q + 11'. As each nickel is worth $0.05, the value of nickels can be calculated as 0.05(q + 11).
The total value of all the coins is $3.85. Therefore, we can form the equation: 0.25q + 0.05(q + 11) = 3.85. Simplifying the equation, we get:
0.25q + 0.05q + 0.55 = 3.85
0.30q = 3.30
q = 11 So, Hillary has 11 quarters. Substituting this value back into 'q + 11', we find she has 11 + 11 = 22 nickels. Therefore, Hillary has 7 quarters and 18 nickels.
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