Final answer:
To make a 50/50 mixture of lemon and lime juices, Kevin needs to add 1 gallon of 100% lemon juice to 5 gallons of the original mixture that is 40% lemon juice.
Step-by-step explanation:
Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. To do this, he needs to add 100% lemon juice to a juice mixture that is currently 40% lemon juice and 60% lime juice to make 6 gallons of the desired 50/50 mixture.
Step-by-step solution:
Simplify and solve for 'x': 2.4 - 0.40x + x = 3.
Divide both sides of the equation by 0.60 to find 'x': x = 1.
Kevin needs to add 1 gallon of 100% lemon juice to the existing mixture to create 6 gallons of a mixture that is 50% lemon juice and 50% lime juice.