contestada

There are about 34 million gallons of water in Reservoir A and about 38 million gallons in Reservoir B. During a drought, Reservoir A loses about 0.8 million gallons per month and Reservoir B loses about 1.1 million gallons per month. After how many months with the reservoirs contain the same amount of water? Round your answer to the nearest whole month.

Respuesta :

we have:

m = month

Reservoir A = 34 - 0.8m

Reservoir B = 38 - 1.1m

the expression is

[tex]\begin{gathered} 34-0.8m=38-1.1m \\ 34-0.8m+1.1m=38-1.1m+1.1m \\ 34+0.3m=38 \\ 34+0.3m-34=38-34 \\ 0.3m=4 \\ \frac{0.3m}{0.3}=\frac{4}{0.3} \\ m=13.3 \end{gathered}[/tex]

answer: 13 months

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