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

He needs 1 and 1/3 cups of pinapple juice when he uses 3 cups of orange juice.

Explanation:

Orange Juice:

3 cups / 3/4 cups = 12/3= 4

Pineapple Juice:

1/3 × 4 = 4/3 cups= 1 1/3 cups

Answer 2

Answer:
`1\frac13` cups of pineapple juice .

Explanation:

Equation of direct proportion between x and y:

`(x_1)/(y_1)=(x_2)/(y_2)`

As per given,

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

`x_1=\frac13\` ,
`y_1=\frac34` ,
`y_2=3`

Put these values in an equation we get

`(\frac13)/(\frac34)=(x_2)/(3)\\\\\Rightarrow\ (4)/(9)=(x_2)/(3)\\\\\Rightarrow\ x_2=3*(4)/(9)=(4)/(3)\\\\\Rightarrow\ x_2=1\frac13`

Hence, he needs
`1\frac13` cups of pineapple juice .