Sean wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice mixture that is 30% lemon juice and 70% lime juice to make 7 gallons of the 50% lemon/50% lime juice mixture?
Answers
Answer:
2 gallons lemon juice is to be added with this mixture to make the final mixture containing 50% lemon and 50% lime juice.
Step-by-step explanation:
Problem Given:
Sean wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice mixture that is 30% lemon juice and 70% lime juice to make 7 gallons of the 50% lemon/50% lime juice mixture?
Solution:
⇒7 gallons final mixture contains 50% lemon and 50% lime juice.
This means ,
⇒7 gallons final mixture contains 3.5 gallons lemon and 3.5 gallons lime juice.
⇒Initial mixture contains 30% lemon juice and 70% lime juice .
This means,
⇒10 gallons initial mixture contains 3gallons lemon juice and 7gallons lime juice .
⇒So 5 gallons initial mixture contains 1.5 gallons lemon juice and 3.5gallons lime 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:
I took the test
Step-by-step explanation: