Middle School

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During the months of August and September, the total rainfall was 6.2 inches. If the rainfall in August was 0.6 inches more than the amount of rainfall in September, how much rain fell in each month?

Answer :

Final answer:

To solve for the rainfall in each month, we set up the equations based on the given conditions. By solving the equations, we find that the rainfall in August was 3.4 inches and in September was 2.8 inches.

Explanation:

To solve the problem of how much rain fell in each month of August and September, we can start by setting up two variables representing the rainfall for each month. Let's call the rainfall in August A and the rainfall in September S. We are given two pieces of information:

The total rainfall for both months together was 6.2 inches.

The rainfall in August was 0.6 inch more than the amount in September.

With this, we can create two equations:

A + S = 6.2 inches

A = S + 0.6 inches

Now, we can substitute equation (2) into equation (1) to find the value of S:

(S + 0.6) + S = 6.2
2S + 0.6 = 6.2
2S = 6.2 - 0.6
2S = 5.6
S = 5.6 / 2
S = 2.8 inches

Now we can find the value of A by plugging the value of S back into equation (2):

A = 2.8 + 0.6
A = 3.4 inches

Therefore, the rainfall in August was 3.4 inches, and the rainfall in September was 2.8 inches.

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Rewritten by : Barada

In August, the rainfall was 3.4 inches and in September the rainfall was 2.8 inches. If we let s=September's rainfall the equation would be: .6+s+s=6.2 .
Solving that equation would result in September's rainfall and we can add .6 to that to find August's.