6) You have 6 L of water that has 20 percent strawberry juice. How many litres of an 80 percent strawberry juice should be added to the mixture to make 55 percent strawberry juice?

Respuesta :

Data:

Strawberry juice: s

6L 20%s

xL 80%

Final: (6+x)L 55%

[tex]6\cdot\frac{20}{100}+x\cdot\frac{80}{100}=(6+x)(\frac{55}{100})[/tex]

Solve x:

Simplify:

[tex]1.2+0.8x=3.3+0.55x[/tex]

Leave in one side of the equation the terms with the variable x:

[tex]0.8x-0.55x=3.3-1.2[/tex]

Make substractions.

[tex]0.25x=2.1[/tex]

Divide both both sides of the equation into 0.25:

[tex]\begin{gathered} \frac{0.25}{0.25}x=\frac{2.1}{0.25} \\ \\ x=8.4 \end{gathered}[/tex]Then, you shloud add 8.4L of 80 percent strawberry juice to make 55 percent strawberry juice