Question

Maria has added 4 liters of pure water to 4 liters of a 20% sugar syrup. What is the concentration of the resulting solution?

Answer 1

%Concentration=100(4(0)+4(.2))/(4+4)

%Concentration=100(.8)/8

%Concentration=80/8

%Concentration=10%

The resulting solution is 10% sugar syrup.

Answer 2

The concentration of the resulting solution is 10%.

Explanation:

Given : Maria has added 4 liters of pure water to 4 liters of a 20% sugar syrup.

To find : What is the concentration of the resulting solution?

Solution :

Maria has 4 liters of a 20% sugar syrup,

`A=20\%\text{ of }4\\\\A=(20)/(100)*4\\\\A=(4)/(5)\\\\A=0.8`

New solution is 4+4=8 liters

The concentration of the resulting solution is

`C=(0.8)/(8)* 100\\\\C=10\%`

Therefore, The concentration of the resulting solution is 10%.