Let x represent total amount of water used in liters.
We have been given that an estimate of 34.3% of the water used each day is for cooking. A family uses 68.6 gallons of water a day for cooking. We are asked to find the total gallons of water that the family use every day.
Since 34.3% of the water used each day is for cooking, so 34.3% of total water (x) will be [tex]\frac{34.3}{100}\cdot x[/tex].
Now we will equate 34.3% of total water with 68.6 as:
[tex]\frac{34.3}{100}\cdot x =68.6[/tex]
Let us solve for x.
[tex]0.343\cdot x =68.6[/tex]
[tex]\frac{0.343\cdot x }{0.343}=\frac{68.6}{0.343}[/tex]
[tex]x=200[/tex]
Therefore, the family use 200 gallons of water every day.
