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

Answer:

5000 gallons of water will be consumed each month.

Step-by-step 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 = $\frac{2\times 10^{12} }{4}=5\times 10^{11}$

If the numbers of households in the country A are 100 million or $100\times 10^{6}=1\times 10^{8}$

So water consumption by each household in one month

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

= $\frac{5\times 10^{11} }{10^{8} }=5\times 10^{3}$

= $5\times 10^{(11-8)}$

= 5000 gallons

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