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Andrew has an equal positive number of quarters, dimes, and nickels in his bag. The total amount of money Andrew has in his bag is a whole number of dollars. What is the smallest amount of money Andrew could have?

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sqdancefan

Answer:

  $2

Step-by-step explanation:

One group consisting of one of each of the coins has a value of $0.40. The least common multiple of $0.40 and $1.00 is $2.00.

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In cents, ...

  40 = 2^3 · 5

  100 = 2^2 · 5^2

The LCM is 2^3 · 5^2 = 200. This is the product of the highest powers of the prime factors of the two numbers.

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