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.

Expert Answers
hala718 eNotes educator| Certified Educator

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.

justaguide eNotes educator| Certified Educator

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.

maddogrun427 | Student
In a ratio of 2:3 there are a total of 5 parts- 2+3. 25 gallons divided by 5 is 5. So, 5*2= 10 gallons and 5*3=15 gallons. Therefore because the lemonade is the 2 portion of the ratio, there are 10 gallons of lemonade needed to make the punch.