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Inessa05 [86]
2 years ago
13

Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n

umber of cups of orange juice Daniel uses for 1 cup of carrot juice. Enter answer as an improper fraction (ex. 7/3) or mixed number (ex. 2 1/3). Daniel uses cups of orange juice for 1 cup of carrot juice.
Mathematics
1 answer:
USPshnik [31]2 years ago
4 0

Answer:

\dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used

Step-by-step explanation:

Daniel uses the proportions of \dfrac{2}{3} cups of orange juice and \dfrac{1}{4} cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}

So for one cup of carrot juice \dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used.

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