2009 AMC 10A Problem 2
Problem 2 of 25EasierAlgebraNumber Theory
Four coins are picked out of a piggy bank that contains a collection of pennies, nickels, dimes, and quarters. Which of the following could not be the total value of the four coins, in cents?
Answer choices
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Solution
To get a multiple of cents, the number of pennies must be a multiple of With only four coins, that means using no pennies, but then the four coins are each worth at least cents, for a total of at least cents.
So cents cannot be made. The others can: and
Thus, the correct answer is A.