Question

the Royal fruit company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is a 45% pure fruit juice. the company is attempting to produce a fruit drink that contains 35% pure fruit juice. how many pints of each of the two existing types of drinks must be used to make 30 pints of a mixture that is 35% pure fruit juice ?

Answer 1

We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.

Now we have to make 30 pints of a mixture that is 35% pure.

Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.

So, $x+y=30$ (Equation 1)

Since, 20% of x + 45% of y = 35.3% of 30

$\frac{x}{5}+\frac{9y}{20}=10.5$ (Equation 2)

Solving equations 1 and 2,

we get y=18 and x=12.

So, 12 pints of first type of juice and 18 pints of second type of juice are used.