contestada

the Royal fruit company produces two types of fruit drinks. the first type is 20% pure juice,the second type is 100% pure fruit juice. the company ia attempting to produce a fruit drink that contains 85% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 160 pints of a mixture that is 85% pure fruit juice?

Respuesta :

30 pints of first type and 130 pints of second type drinks must be used to make the mixture.

Explanation

Lets assume, the amount of first type drink is [tex]x[/tex] pints.

As the total amount of the mixture is 160 pints, so the amount of second type drink [tex]= (160-x)[/tex] pints.

The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....

[tex]0.20x+1.00(160-x)= 0.85*160\\ \\ 0.20x+160-x=136\\ \\ -0.80x= -24\\ \\ x=\frac{-24}{-0.80}=30[/tex]

So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.

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