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% ju

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

100% = 1, but we don't write 1 times anything, so...

 

48 + 0.40(32) = p(48 + 32)

48 + 12.8 = 80p

80p = 60.8

p = 0.76 = 76%