Dropping less than two inches per mile after emerging from the​ mountains, a river drains into the ocean. One​ day's discharge at its​ mouth, 5.6 trillion​ gallons, could supply all of country​ A's households for seven months.

Based on this​ statement, determine how much water an average household uses each month.
Assume that there are 100 million households in country A. Country A uses approximately nothing gallons per household per month.

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Answer:

[tex]8000 \frac{\frac{gallons}{household}}{month}[/tex]

Step-by-step explanation:

We know the river discharge 5.6 trillions of gallons

So:

5.6 trillions of gallons = [tex]5.6\ x\ 10^{12}[/tex] gallons

Then we know that with this amount all households in the country are supplied for 7 months. Also, there are 100 million homes in the country.

So, the average amount of water that a household consumes during 7 months is:

[tex]\frac{5.6\ x\ 10^{12}\ gallons}{1\ x\ 10^8\ homes}[/tex]

= 56 000 gallons/household

Now, the amount that each household consumes per month is:

[tex]\frac{56\ 000\ gallons/household}{7\ months}[/tex]

= [tex]8\ 000\ \frac{gallons/household}{month}[/tex]