Emilia and Darnell are arguing over who makes the best fruit punch. Emilia likes to use 2 cups of grape juice for every 5 cups of pineapple juice. Darnell prefers to use 1 cup of grape juice for every 4 cups of pineapple juice. Do Emilia and Darnell use the same ratio of grape juice to pineapple juice?
Question
Emilia and Darnell are arguing over who makes the best fruit punch. Emilia likes to use 2 cups of grape juice for every 5 cups of pineapple juice. Darnell prefers to use 1 cup of grape juice for every 4 cups of pineapple juice. Do Emilia and Darnell use the same ratio of grape juice to pineapple juice?
Solution
No, Emilia and Darnell do not use the same ratio of grape juice to pineapple juice.
Here's how we can determine this:
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First, let's look at Emilia's ratio. She uses 2 cups of grape juice for every 5 cups of pineapple juice. This can be written as 2:5.
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Now, let's look at Darnell's ratio. He uses 1 cup of grape juice for every 4 cups of pineapple juice. This can be written as 1:4.
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To compare these ratios, we can convert them to fractions and simplify if necessary. Emilia's ratio as a fraction is 2/5, and Darnell's ratio as a fraction is 1/4.
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These fractions are not equal, so Emilia and Darnell do not use the same ratio of grape juice to pineapple juice.
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