A liter of orange fruit drink contains 22% orange juice. How many millimeters of orange juice must be added to produce a mixture containing 50% orange juice?

Didn't understand

Is’n it supposed to be of percentage?

To find the number of millimeters of orange juice that must be added to produce a mixture containing 50% orange juice, we need to do the following steps:

Step 1: Determine the total volume of the mixture.
Since we have a liter of orange fruit drink, which contains 22% orange juice, the total volume of the mixture is 1 liter.

Step 2: Write the equation for the concentration of orange juice.
Let "x" represent the number of millimeters of orange juice to be added. The concentration of orange juice in the new mixture is 50%.

Step 3: Convert the concentrations into decimal form.
To convert percentages to decimal form, we divide the percentage by 100.
The concentration of orange juice in the orange fruit drink is 22%/100 = 0.22.
The concentration of orange juice in the new mixture is 50%/100 = 0.50.

Step 4: Set up the equation.
We can use the equation: (0.22 * 1 liter) + (0 * x) = (0.50 * (1 + x)) to represent the conservation of orange juice in the mixture.

Step 5: Solve the equation for "x".
To solve for "x", we can simplify the equation:
0.22 + 0 = 0.50 + 0.50x
0.22 = 1x
x = 0.22

Therefore, you would need to add 0.22 millimeters of orange juice to the orange fruit drink to produce a mixture containing 50% orange juice.

OJ is not measured in millimeters.

You probably mean milliliters (ml)

Your original liter of fruit drink contains 780 ml of water and 220 of OJ. You want to add X ml of OJ so that

220 + X = (1/2)(1000 + X)
X/2 = 500 - 220 = 280
X = 560 ml