The royal fruit company produces two types of fruit drinks. the first type is 55% pure fruit juice, and the second type is 100% pure fruit juice. the company is attempting to produce a fruit drink that contains 70% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 240 pints of a mixture that is 70% pure fruit juice?

First type of fruit drinks: 160 pints

Second type of fruit drinks: 80 pints

Step-by-step explanation:

Let's call A the amount of first type of fruit drinks. 5.5% pure fruit juice

Let's call B the amount of second type of fruit drinks. 100% pure fruit juice

The resulting mixture should have 70% pure fruit juice and 240 pints.

Then we know that the total amount of mixture will be:

Then the total amount of pure fruit juice in the mixture will be:

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

                  +

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We substitute the value of A into one of the two equations and solve for B.

a .4y4

hope this !

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.