Question

Choose the correct answer.

Answer 1

Answer:

Step-by-step explanation:

Since we are given that

7 gallons final mixture contains 50% lemon and 50% lime juice.

⇒50% of 7

⇒$\frac{50}{100} *7$

⇒$\frac{1}{2} *7$

⇒$3.5$

Thus , 7 gallons final mixture contains 3.5 gallons lemon and 3.5 gallons lime juice.

Now, Initial mixture contains 30% lemon juice and 70% lime juice .

This means  

10 gallons initial mixture contains 3 gallons lemon juice and 7 gallons lime juice .

So, they have 3 gallons of lemon juice  and 7 gallons of lime juice

But they require 3.5 gallon of lemon juice and 3.5 gallons lime juice. to make 7 gallon of final mixture

So, from the initial 10 gallons of mixture

We can take take 50 % of 10 gallons i.e.

5 gallons initial mixture contains 1.5 gallons lemon juice and 3.5 gallons lime juice .

Thus require 3.5 gallons of lemon juice but they have 1.5 gallons of lemon juice

So, they require 3.5-1.5=2 gallons of lemon juice

Hence 2 gallons lemon juice is to be added with this mixture to make the final mixture containing 50% lemon and 50% lime juice.

Answer 2

Our total mixture will be 7 gal- of that, we need 3.5 gal of each. Because we already have all the lime juice, there is 3.5 gal of it in the 70 - 30 mixture. 3.5 gallons represents 70%, and therefore means there are 5 gallons in the 70-30. We must add two gallons of lemon to get the total of 7 gallons. 2 gallons will also make the 1.5 gal of lemon (5-3.5) into 3.5