We have the ratio 9:3 because there is 9 ounces of juice and 3 ounces of water.
To find the percentage of juice, we must form a fraction, which requires us to find the total number of “pieces” or the whole. To do this, we will add the ratios together, since the entire mixture is composed of both juice and water.
9+3=12
So, there is a total of 12 ounces of both juice and water in the beverage. This is our denominator because it is the whole amount. Now, because orange juice is 9 ounces of the total 12 ounces in the drink, we can calculate its percentage from the fraction:
9/12
9/12 is our fraction because a fraction is the ratio of “pieces” to the total number of “pieces.” Therefore, 9 ounces is a fraction of the 12 total ounces.
To calculate a fractions’s percentage, we must divide the numerator by the denominator and multiply the quotient by 100:
9/12=.75
.75•100=75%
Therefore 75% of the drink is composed of orange juice.