Three students open e-trade accounts and become day traders. Although they all work hard, they achieve the following steady rates of losing money: The first student loses $1000 in one hour, the second student loses $1000 in two hours, and the third student loses $1000 in three hours. Find the number of minutes it takes […]

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An integer is defined as upright if the sum of its first two digits equals its third digit. For example, 145 is an upright integer since 1+4=5. How many positive three-digit integers are upright?   Last week’s question and solution Problem: Daniel is having dinner with a friend. He buys five dishes and his friend […]

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Daniel is having dinner with a friend. He buys five dishes and his friend buys three dishes. At the last minute another friend comes to eat with them and pays $4 for his share of the meal. If all the dishes have the same value, how should the money be divided between Daniel and his […]

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The average house price in Boomtown rose 30 percent each year for the last five years. If the average house price is currently $250,000, what was the average house price five years ago?   Last week’s problem and solution 999 Coins Starting with a single pile of 999 coins, a person does the following in […]

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Starting with a single pile of 999 coins, a person does the following in a series of steps: In step one, he splits the pile into two nonempty piles. Thereafter, at each step, he chooses a pile with 3 or more coins and splits this pile into two piles. What is the largest number of […]

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