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1) A small country prints only two kinds of stamps, 7 cent stamps and 13 cent stamps. One letter
requires 65 cents postage. How many of each stamp should you ask for so that you can mail the
letter and spend the least amount of money?
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2) Two competing music stores hold sales. Musico has a sale on CDs: Buy 5 for the regular price of 3. Songs Unlimited has the sale: Buy 7 CDs for the regular price of 4. If the sale price in both stores for 35 CDs is $210, what is the ratio of the regular price of a single Musico CD to the regular
price of a single Songs Unlimited CD?
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3) The prime factors of one number are 2, 3, and 7. A second number has the prime factors 2, 7,
and 13. If their least common multiple is 9,828 what is the smallest the first number could be?
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4) Jessica is camping with her family. She needs to get water for the camp. She needs 1 1/2 gallons.
She has a pot that holds 5/8 gallon. The spring where she gets water is 1/5 mile from camp. How
many miles will she walk while getting the water using only the 5/8 gallon pot? Express your
answer as a mixed number.
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5) Your very rich charity minded aunt makes you a proposal business person to business person. If
you donate your weekly $5.00 allowance to the local food bank for the next 6 years, she will pay
you $16 on your birthday for the next 6 years. The $16 is 1/10 of 0.1% of an amount held in trust
for you. What is the total amount held in trust for you and is this more than your donated
allowance?
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