Answer:
The resulting solution contains approximately 666 g of water.
Explanation:
In the initial solution we have:
1g salt : 8g sugar : 200g water
This means that the ratios are:
[tex]\frac{salt}{sugar} = \frac{1}{8} \\\\\frac{sugar}{water} = \frac{8}{200} =\frac{1}{25}[/tex]
In the final solution we have:
5g salt: xg sugar: yg water
The new ratios are:
[tex]\frac{salt}{sugar} = \frac{3}{8} \\\\\frac{sugar}{water} = \frac{1}{50}[/tex]
Now we can calculate the amount of sugar in the final solution:
[tex]\frac{salt}{sugar} = \frac{5}{x} =\frac{3}{8} \\\\X = 13.333 g[/tex]
Finally, we calculate the amount of water:
[tex]\frac{sugar}{water} = \frac{13.333}{y} = \frac{1}{50} \\y = 666.667 g[/tex]
