Respuesta :
Answer:
1.5gal
Step-by-step explanation:
From the given information:
50% lemon juice + 50% lime juice is the intended mixture.
Therefore, to find quantity that would be added to 20% lemon juice and 80% lime juice, let's assume this to be x.
x of 100% and 4-x gallons of the existing 20% mix
100%x + 20%(4-x) = 50%(4)
1.00x + 0.2(4-x) = 0.5(4)
1.00x + 0.8-0.2x = 2
1.00x-0.2x = 2-0.8
0.8x = 1.2
× = 1.5gal.
Answer:
The answer to the question is;
1.5 gallons of 100% lemon juice added to 2.5 gallons of 20% lemon juice + 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture.
1.5 gallons of 100% lemon juice
Step-by-step explanation:
To solve the question, we note
Desired concentration = 50% lemon juice and 50% lime juice
Available concentration = 100% lemon juice and 20% lemon juice and 80% lime juice
To make 4 gallons of 50% lemon juice and 50% lime juice Milo requires
20 per 100 lemon requires 60 parts of pure lemon to make 160 parts of 50% lemon juice and 50% lime juice
100 requires 60 to make 160
100/160 requires 60/160 to make one part of 50% lemon juice and 50% lime juice
That is 5/8 gallon of 20 % lemon requires 3/8 gallon of pure lemon to make 1 gallon of 50% lemon juice and 50% lime juice
That is 2.5 gallons of 20 % lemon requires 1.5 gallons of pure lemon to make 4 gallons of 50% lemon juice and 50% lime juice
Milo should add 1.5 gallons of 100% lemon juice to 2.5 gallons of a juice mixture that is 20% lemon juice and 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture