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Hint |
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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Difficult problem!
1. The greatest common factor of the two numbers is 7.
2. The smallest the second number can be is all its prime factors multiplied together = _____.
3. The relationship between the LCM and the GCF of 2 numbers is:
LCM(A,B) = (A x B) / GCF(A,B)
where A and B are the two numbers.
4. Assuming B is that smallest value for the second number, solve the above equation for the first number = _____
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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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1. Convert the number of gallons Jessica needs
to an improper fraction in 8ths = ______
2. Divide this numerator by the numerator
of the size of her pot = ______.
This is the number of trips she must make.
3. Round this number up (because you can't take part of a trip)
and multiply by 1/5 mile x 2
(going and coming back) for the number of miles she must walk = _____
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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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1. Compute the amount of your donated allowance for
6 years using 52 weeks in a year = _____.
2. Convert the 0.1% to a fraction = ______
3. Take 1/10 of this = _____
4. Divide the $16 by this fraction: _______
5. Is this more than your donated allowance? _____
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