Question

People use water to​ cook, clean, and drink every day. An estimate of 34.3​% of the water used each day is for cooking. If a family uses 68.6 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answer 1

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
`(34.3)/(100)\cdot x`.

Now we will equate 34.3% of total water with 68.6 as:

`(34.3)/(100)\cdot x =68.6`

Let us solve for x.

`0.343\cdot x =68.6`

`(0.343\cdot x )/(0.343)=(68.6)/(0.343)`

`x=200`

Therefore, the family use 200 gallons of water every day.