Answer:
Step-by-step explanation:
Since we are given that
7 gallons final mixture contains 50% lemon and 50% lime juice.
⇒50% of 7
⇒
⇒
⇒
Thus , 7 gallons final mixture contains <u>3.5 gallons lemon</u> and <u>3.5 gallons lime juice. </u>
Now, Initial mixture contains 30% lemon juice and 70% lime juice .
This means
10 gallons initial mixture contains <u>3 gallons lemon juice </u>and <u>7 gallons lime juice . </u>
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<u> 1.5 gallons lemon juice</u> and <u>3.5 gallons lime juice</u> .
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.