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Difficulty:
25%
(medium)
Question Stats:
75% (01:22) correct
25%
(01:20)
wrong
based on 393
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If Johnny bought candy using nickels (\($0.05\) coins) and quarters (\($0.25\) coins), how many quarters did he use?
(1) The cost of the candy Johnny bought was 85 cents.
(2) Johnny used more quarters than nickels.
(1) The cost of the candy Johnny bought was 85 cents.
(2) Johnny used more quarters than nickels.
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01 Oct 2023, 04:47
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If Johnny bought candy using nickels (\($0.05\) coins) and quarters (\($0.25\) coins), how many quarters did he use?
(1) The cost of the candy Johnny bought was 85 cents.
From the above, we can derive the equation \(0.05n + 0.25q = 0.85\), where \(n\) represents the number of nickels and \(q\) the number of quarters.
Multiplying the equation by 100 for simplification, we get \(5n + 25q = 85\). Further simplifying by dividing through by 5, we have: \(n + 5q = 17\).
This equation yields several integer solutions for \(n\) and \(q\):
\(n=12\) and \(q=1\);
\(n=7\) and \(q=2\);
\(n=2\) and \(q=3\);
Not sufficient.
(2) Johnny used more quarters than nickels.
This statement implies \(q > n\). On its own, this is not sufficient to answer the question.
(1)+(2) Given the condition \(q > n\) from (2), the only solution from (1) that meets this criterion is \(n = 2\) and \(q = 3\). Sufficient.
Answer: C
(1) The cost of the candy Johnny bought was 85 cents.
From the above, we can derive the equation \(0.05n + 0.25q = 0.85\), where \(n\) represents the number of nickels and \(q\) the number of quarters.
Multiplying the equation by 100 for simplification, we get \(5n + 25q = 85\). Further simplifying by dividing through by 5, we have: \(n + 5q = 17\).
This equation yields several integer solutions for \(n\) and \(q\):
\(n=12\) and \(q=1\);
\(n=7\) and \(q=2\);
\(n=2\) and \(q=3\);
Not sufficient.
(2) Johnny used more quarters than nickels.
This statement implies \(q > n\). On its own, this is not sufficient to answer the question.
(1)+(2) Given the condition \(q > n\) from (2), the only solution from (1) that meets this criterion is \(n = 2\) and \(q = 3\). Sufficient.
Answer: C
20 Apr 2026, 09:50
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1 doesn’t tell us anything about the relationship between quarter and nickel used. He could have used only nickel or only quarter
2 doesn’t tell us about the total value of item only that more quarters were used
Together, we know that the number of quarter is more than nickel and total value is 85 hence there is only one possible way 3 quarters and 2 nickel
C answer
2 doesn’t tell us about the total value of item only that more quarters were used
Together, we know that the number of quarter is more than nickel and total value is 85 hence there is only one possible way 3 quarters and 2 nickel
C answer
