Question

Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?

Answer 1

Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is the percent concentration of the final solution?    =65%

Answer 2

Answer: Percentage of concentration of the final solution is 65%.

Step-by-step explanation:

Let there are two types of juice solution : A and B

In A:

Number of gallons =3

Concentration Amount of juice solution = 0.80

Total amount of concentration is given by

$3\times 0.8=2.4$

In B:

Number of gallon =1

Concentration Amount of juice solution = 0.2

total amount of concentration is given by

$0.2\times 1=0.2$

Total number of gallons be 3+1=4

Concentration of the final solution be x

Total concentration of the final solution for 4 gallons be 4x

So,. According to question,

$4x=2.4+0.2\\\\4x=2.6\\\\x=\frac{2.6}{4}\\\\x=\frac{26}{40}\times 100\\\\x=65\%$

Hence, Percentage of concentration of the final solution is 65%.