Question

Shaw’s carries two types of apple juice. One is 100% fruit juice, while the other is only 40% juice. Yesterday there was only one 48-ounce bottle of the 100% juice left. I bought it, along with a 32-ounce bottle of the 40% juice. I am about to mix the contents of the two bottles together. What percent of the mixture will be actual fruit juice?

Answer 1

the percent of actual fruit juice in the mixture will be 76%

Step-by-step explanation:

given that we are mixing 2 bottles the total volume the mixture will be

mixture volume = volume bottle 1 + volume bottle 2 = 48 ounces + 32 ounces = 80 ounces

also the total quantity of juice will be

juice mass in mixture = juice bottle 1 + juice bottle 2 = 48 ounces * 1 + 32 ounces * 0.4 = 60.8 ounces of juice

therefore the concentration of juice in the mixture will be

concentration = 60.8 ounces of juice / 80 ounces = 0.76 (76%)

therefore the percent of actual fruit juice in the mixture will be 76%