Question

The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 80% 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 drink must be used to make 90 pints of a mixture that is 35% pure fruit juice?

Answer 1

Answer: I- 81 pints,  II-9 pints

Step-by-step explanation:

Given

The first type of juice has 30% pure Juice

The second type of juice has 80% pure Juice

The final mixture has 95 pints of 35% pure juice

Suppose we take x pints from the first Juice

So, the second Juice contributes 90-x

for 35% content

$\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}$

First contributes 81 pints. second contributes 9 pints