A solution containing 30 percent juice is mixed with a solution containing 10 percent juice to make 100 gallons of a 12 percent juice mixture. how much of the 30 percent juice solution was used

Respuesta :

let there be x gallons of 30 percent juice, then there are (100-x) gallons of 12 percent juice.

0.30x+0.10(100-x)=100*0.12
0.3x+10-0.1x=12
              0.2x=2
                   x=10

10 gallons of 30 percent juice should be used.

10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of 30% juice and y represent the amount of 10% juice, hence:

x + y = 100         (1)

Also:

0.3x + 0.1y = 0.12(100)         (2)

From eqn 1 and 2:

x = 10, y = 90

10 gallons of 30% juice was mixed with 90 gallons of 10% juice to make 100 gallons of 12% juice.

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