John mixed together 9 liters of Brand A fruit drink which contains 14% fruit juice and 8 gallons of Brand B fruit drink which contains 48% fruit juice. What is the percent of fruit juice in the resulting mixture?

41.25%

Step-by-step explanation:

Amount of fruit juice in 9 liters of Brand A fruit drinks which contain 14% fruit juice will be liters.

Again, the amount of fruit juice in 8 gallons i.e. (8 × 4.546) = 36.368 liters of Brand B fruit drinks which contain 48% fruit juice will be liters.

Therefore, mixing those two brands we will get (9 + 36.368) = 45.369 liters of fruit drinks within which (1.26 + 17.456) = 18.716 liters of fruit juice.

So, the % of fruit juice in the mixture will be (Answer)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is