Question

Cooper is making passion fruit punch by mixing passion fruit and pineapple juice in a ratio of 1 : 3. How much pineapple juice should he use to make 3 L of fruit punch?

Answer 1

mix 2.25 L of pineapple juice

Step-by-step explanation:

With that proportion: 1 : 3

`1 + 3 =4`

Then we divide into 4 parts the three liters

`3 L/4 = 0.75`

Each part equals 0.75 L

One part of Passion fruit : 0.75 L

three parts of pineapple: 3(0.75)=2.25 L

Hope this helps

Answer 2

Answer: 2 & 1/4 liters

Step-by-step explanation:

The ratio 1:3 scales up to 1x:3x when multiplying both parts by x.

x is some positive real number.

• 1x = amount of passion fruit (in liters)
• 3x = amount of pineapple juice (in liters)

The two amounts add to 3 liters total

1x+3x = 3

4x = 3

x = 3/4

Cooper will need 3/4 of a liter of passion fruit and 3x = 3*(3/4) = 9/4 = 2 & 1/4 liters of pineapple juice.

In other words, he needs 2 full liters of pineapple juice, plus another 1/4 liter.