Question

an issue of a magazine contained the following statement.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, 2 trillion​ gallons, could supply all of country​ a's households four 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.

Answer 1

It's
5000 gallons per household

Answer 2

5000 gallons of water will be consumed each month.

Explanation:

One day's discharge at its mouth = 2 trillion gallons = 2×
`10^(12)` gallons of water.

This amount of discharge could supply all of country's households for the time = 4 months

So consumption in one month =
`(2* 10^(12) )/(4)=5* 10^(11)`

If the numbers of households in the country A are 100 million or
`100* 10^(6)=1* 10^(8)`

So water consumption by each household in one month

=
`\frac{\text{Total amount of water for 1 month}}{\text{Number of households in the country}}`

=
`(5* 10^(11) )/(10^(8) )=5* 10^(3)`

=
`5* 10^((11-8))`

= 5000 gallons

5000 gallons of water is consumed by each household in a month.