Question

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?

Answer 1

Data:

Strawberry juice: s

6L 20%s

xL 80%

Final: (6+x)L 55%

`6\cdot(20)/(100)+x\cdot(80)/(100)=(6+x)((55)/(100))`

Solve x:

Simplify:

`1.2+0.8x=3.3+0.55x`

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

`0.8x-0.55x=3.3-1.2`

Make substractions.

`0.25x=2.1`

Divide both both sides of the equation into 0.25:

`\begin{gathered} (0.25)/(0.25)x=(2.1)/(0.25) \\ \\ x=8.4 \end{gathered}`Then, you shloud add 8.4L of 80 percent strawberry juice to make 55 percent strawberry juice