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almond37 [142]
3 years ago
13

Sanjaya is making punch. He uses LaTeX: \frac{1}{3}1 3 c of pineapple juice for every LaTeX: \frac{3}{4}3 4 c of orange juice. H

ow many cups of pineapple juice does he need if he uses 3 c of orange juice? Show your work (psst...Make sure you label or it will be marked wrong).
Mathematics
1 answer:
lord [1]3 years ago
8 0

Answer: 1\dfrac13 cups of pineapple juice .

Step-by-step explanation:

Equation of direct proportion between x and y:

\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}

As per given,

Let x = quantity of pineapple juice and y = quantity of orange juice.

x_1=\dfrac13\  , y_1=\dfrac34 ,  y_2=3

Put these values in an equation we get

\dfrac{\dfrac13}{\dfrac34}=\dfrac{x_2}{3}\\\\\Rightarrow\ \dfrac{4}{9}=\dfrac{x_2}{3}\\\\\Rightarrow\ x_2=3\times\dfrac{4}{9}=\dfrac{4}{3}\\\\\Rightarrow\ x_2=1\dfrac13

Hence, he needs 1\dfrac13 cups of pineapple juice .

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