Problem |
Hint |
1) Jason is playing with a stack of cards. He divides the cards into 3 equal piles. Then he takes one
pile and divides it into 4 equal piles. Then he takes one of the four equally divided piles and further
divides it into 5 equal piles. If one of the five equally divided piles contains 3 cards, how many
cards in total are in Jason's stack? |
Work this problem backwards:
1. If Jason has 5 piles at the end and each pile contains 3 cards then those 5 piles contain ____ cards total.
2. If those 5 piles were 1/4 of the cards in the previous step,then the 4 piles together contain ____ cards.
3. Those 4 piles are 1/3 of the deck, so the whole deck contained ____ cards.
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2) The sum of two numbers is 22 and their product is 96. What is the ratio of the two numbers when
expressed as a proper fraction in lowest terms? |
1. Write out the 2-number factors of 96:
2. Find the two that sum to 22 = ____ and ____.
3. Express the ratio of these two numbers = _____
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3) What is the greatest common prime factor of 78 and 117? |
1. Write out the prime factors of both numbers.
    78:
    117:
2. Find the largest one in both lists = _____.
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4) A costume store has a sale. All costumes are being sold at a discount and are 25% off the original
price. One costume has a tag that marks it for an additional 10% off the discounted price. If the
original price of the costume is $50, what is the final sale price (not including tax)?
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1. The discount price is $50 - 25% of 50 = _____
2. A further discount of 10% off this price is ____.
3. Subtract this from the first discount price to get the final sale price = _______
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5) A group of children are picking apples in an orchard. Kyle collects 28 apples, Rachel collects 33
apples, Lima collects 39 apples in a day. They want to make $200 for a trip they are planning. If
they get $2 for every 25 apples picked, how many days will they need to pick apples to make
enough money for their trip? |
1. What is the total number of apples picked in a day by all kids? = ______
2. Divide this by 25 = ______.
3. Multiply by $2 to get the amount the kids get paid per day = _____.
4. Divide the cost of the trip by this amount to get the number of days = _____
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