Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter mixture that is 10% pure fruit juice. How many liters of pure fruit juice does she need to add?
cup size fraction fruit amount fruit
A____x_______1.0____________x
B____2_______0.1____________.2
C___x+2______0.25__________.25(x+2)=x+.2
so
.25 x + .5 = x+.2
.3 = .75 x
x = .3/.75 = .4 liters
Thank you
20
To find out how many liters of pure fruit juice Lisa needs to add to make a punch that is 25% fruit juice, we can set up the following equation:
(10% pure fruit juice)(2 liters) + (100% pure fruit juice)(x liters) = (25% pure fruit juice)(2 + x) liters
Let's break down this equation step by step:
1. (10% pure fruit juice)(2 liters) represents the amount of pure fruit juice in the 2-liter mixture that is already there.
2. (100% pure fruit juice)(x liters) represents the amount of pure fruit juice that Lisa needs to add.
3. (25% pure fruit juice)(2 + x) liters represents the desired amount of pure fruit juice in the final mixture, which is 25% of the total volume (2 + x liters).
Now, let's solve the equation:
0.10(2) + 1(x) = 0.25(2 + x)
0.20 + x = 0.50 + 0.25x
0.75x - 0.25x = 0.50 - 0.20
0.50x = 0.30
x = 0.30 / 0.50
x ≈ 0.6
Therefore, Lisa needs to add approximately 0.6 liters of pure fruit juice to the mixture in order to have a punch that is 25% fruit juice.
1. 10%of 2 liters is .2 liters of pure fruit juice then,
To make it 25% we must add how much which is .3 liters to 2 liters which will make it 2.3 liters so 25% of 2.3 liters of juice will be 25/100 into 2.3 which is 1/4 into 2300 which is 23 into 25 milliliters
Which is .5 l approx