Question

You have 6 liters of a pineapple juice blend that has 50% pure pineapple juice.How many liters of pineapple juice needs to be added to make juice blend that is 75% pineapple juice?

Answer 1

Answer:  6 liters of pineapple juice needs to be added.

Step-by-step explanation:  Given that 6 liters of a pineapple juice blend that has 50% pure pineapple juice.

We are to find the number of liters of pineapple juice that needs to be added to make juice blend that is 75% pineapple juice.

We have

$50\%\times6=\dfrac{50}{100}\times6=3~\textup{liters}.$

Let x liters of the pineapple juice needs to be added.

Then, we must have

$\dfrac{3+x}{6+x}\times100\%=75\%\\\\\\\Rightarrow \dfrac{3+x}{6+x}=\dfrac{75}{100}\\\\\\\Rightarrow \dfrac{3+x}{6+x}=\dfrac{3}{4}\\\\\\\Rightarrow 12+4x=18+3x\\\\\Rightarrow 4x-3x=18-12\\\\\Rightarrow x=6.$

Thus, 6 liters of pineapple juice needs to be added.

Answer 2

Answer:

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Step-by-step explanation: