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%.

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* 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* 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=(2.6)/(4)\\\\x=(26)/(40)* 100\\\\x=65\%`

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