Question

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. How 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).

Answer 1

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 .