How much lemonade is needed is needed in the following case: To make a bowl of punch using lemonade and soda pop, the ratio oflemonade to soda pop is 2:3. There are 25 gallons of punch.
Given that the ration of the lemon to the soda pop into a lemonade mix is 2:3
If there are 25 gallons of punch, how much lemonade is needed?
Let the amount of lemonade = x
The amount of soda pop = y
Then we know that:
x /y = 2/3
==> 3x = 2y .............(1)
But we are given that the punch is 25 gallon.
==> x + y = 25 ............(2)
Let us substitute with x = 25-y into (1).
==> 3x = 2y
==> 3(25-y) = 2y
==> 75 - 3y = 2y
==> 5y = 75
==> y= 75/5 = 15
==> x= 25-15 - 10
Then we need 10 gallons of lemonade and 15 gallons of soda pops.
To make one bowl of punch using lemonade and soda pop, we require the two in the ratio 2:3.
For a quantity of punch equal to 5x, the lemonade required is 2x and the soda pop required is 3x.
Here 25 gallons of soda pop are made, so we require 2*25 / 5 = 10 gallons of lemonade.
The required volume of lemonade is 10 gallons.