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Ivan and Edmond each made a bowl of punch. Edmond used 4 1/3 times as much lemonade as Ivan did. If Ivan used 1/2 of a cup of lemonade, how many cups of lemonade did Edmond use?
Write your answer as a fraction or as a whole or mixed number.
To find out how much lemonade Edmond used, we can start with the amount Ivan used and multiply it by the factor given in the problem.
Ivan used ( frac{1}{2} ) cup of lemonade. According to the question, Edmond used 4 1/3 times as much lemonade as Ivan.
First, we need to convert 4 1/3 into an improper fraction:
[
4 frac{1}{3} = frac{4 times 3 + 1}{3} = frac{12 + 1}{3} = frac{13}{3}
]
Now, we multiply this fraction by the amount Ivan used:
[
text{Amount of lemonade Edmond used} = frac{13}{3} times frac{1}{2}
]
To multiply these fractions, we multiply the numerators and the denominators:
[
frac{13 times 1}{3 times 2} = frac{13}{6}
]
This fraction can be written as a mixed number as follows:
[
frac{13}{6} = 2 frac{1}{6}
]
So, Edmond used ( frac{13}{6} ) cups of lemonade, which is also ( 2 frac{1}{6} ) cups.
**Answer: Edmond used ( frac{13}{6} ) cups