20 pts plus a the royal fruit company produces two types of fruit drinks. the first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. the company is attempting to produce a fruit drink that contains 95% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 220 pints of a mixture that is 95% pure fruit juice?

Step-by-step explanation:

Once you see how the solution works, it becomes possible to write down the answer to a problem like this with very little computation.

Let x represent the quantity of the higher-percentage juice that must be used. The quantity of pure fruit juice in the mix is ...

  80%(220 -x) +100%(x) = 95%(220)

  (100% -80%)x = 220(95% -80%) . . . . . subtract 80%(220), collect terms

  x = 220(95% -80%)/(100% -80%)

Take a good look at this. The fraction of high-percentage juice in the mix is equal to the ratio of the difference of mix% and low-percent to the difference of high-percent and low-percent.

  x = 220(3/4) = 165 . . . . quantity of 100% pure fruit juice (pints)

  220 -x = 55 . . . . . . . . . . quantity of 80% pure fruit juice (pints)

To make 220 pints of 95% juice, 165 pints of 100% juice and 55 pints of 80% juice must be used.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00