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Math Help - Logic word problem

  1. #1
    Papote
    Guest

    Logic word problem

    I have the following word problem that I just can’t figure out.
    Austin, Devin, Olivia and William want to make an ice-cream. Each one has different amounts of milk (three, seven, five and four quarts). A container of ice cream needs 3 cups of milk and 2 cups of sugar. Determine the amount of milk and sugar that each person has.

    1. The person that has 10 cups of sugar has 2 cups less sugar than milk.
    2. If Olivia has 6 times more milk, she would have 10 gallons and 2 quarts of milk.
    3. If Devin has 7 cups more sugar, Devin would have a total of 5 pints of sugar.
    4. Olivia could, at the least, make a container of ice cream.
    5. The person that has 3 cups of sugar, has 17 cups less sugar than cups of milk.
    6. If Austin has 7 times more milk, she would have 7 gallons of milk.
    7. Austin could make at least 2 containers of ice cream.
    8. If Olivia had 11 cups more sugar, she would have a total of 9 pints of sugar.
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  2. #2
    Junior Member
    Joined
    Mar 2008
    From
    Ohio
    Posts
    26

    Smile A start

    Maybe this will help you get started:

    Austin has 16 CUPS of milk, because he can make at LEAST 2 containers which requires at least 6 cups of milk. Also, he has 1 gallon of milk (If he had 7 times as much milk, he would have 7 gallons...) which is 16 cups. Also, 1 cup= .5 pint, so 9 pints= 18cups which means that Oliva has 7 cups of sugar (18cups-11cups=7cups) For the same reason, Devin has 3 cups of sugar (10 cups-7 cups=3 cups). Also, 5. The person that has 3 cups of sugar, has 17 cups less sugar than cups of milk. tells us that Devin has 20 cups of milk since we've already found that he's the one with 3 cups of sugar. Also, this 1. The person that has 10 cups of sugar has 2 cups less sugar than milk. I think has to refer to Will, because we know how much sugar Devin and Oliva have (3 and 7 cups respectively) and how much milk (16 cups) Austin has. That leaves Will to have 10 cups of sugar, and 12 cups of milk. Keep in mind that 1 cup is equal to .249993 quarts approximately, and go from there...

    Does that at least help you get started ?
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