Question

Elena mixes 5 cups of apple juice wihn 2 cups of sparkling waer o make sparkling apple juice. For a pary she wans o make 35 cups of sparkling apple juice. How much of each ingredien should elena use

Answer 1

The current ratio of apple juice to sparkling water is 5:2. If she wants 35 then we have to have 35 lots of 5 apple juices and 35 lots of 2 sparkling waters. This means we’ll do 35 x 5 = 175.
And 35 x 2 = 70.
175 cups apple juice and 70 cups sparkling water

Answer 2

Answer: She require 25 cups of apple juice and 10 cups of sparkling water to make sparkling apple juice.

Step-by-step explanation:

Given : Elena mixes 5 cups of apple juice with 2 cups of sparkling water to make sparkling apple juice.

i.e. the required ratio of apple juice to sparkling water = 5:2

The proportion of these ingredients remains the same .

In order to make 35 cups of sparkling apple juice, let we require 5x cups of apple juice and 2x cups of sparkling water to make sparkling apple juice.

Such that

$5x+2x=35\\\\\Rightarrow\ 7x=35\\\\\Rightarrow\ x=\dfrac{35}{7}=5$

i.e. She require 5(5) cups of apple juice and 2(5) cups of sparkling water to make sparkling apple juice.

i.e. She require 25 cups of apple juice and 10 cups of sparkling water to make sparkling apple juice.