We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
September = 2.8 inches
August = 3.4 inches
Step-by-step explanation:
A = augusts rain fall
S = septembers rainfall
A+S = 6.2 inches
A = S + .6
substitute A=S +.6 into the first equation
A+S = 6.2
(S+.6) + S = 6.2
combine like terms
2s+.6 = 6.2
subtract .6 from each side
2S = 6.2 -.6
2S = 5.6
divide by 2
S = 2.8
Let's find A
A = S +.6
A = 2.8+ .6
A = 3.4
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Final answer:
To find the amount of rainfall in August and September, system of linear equations is solved, determining that August had 3.4 inches and September had 2.8 inches of rainfall.
Explanation:
The question involves solving a system of linear equations to find the amount of rainfall in each month, August and September.
Let's denote the amount of rainfall in August as A and in September as S.
We are given two pieces of information:
The total rainfall for both months is 6.2 inches: A + S = 6.2
The rainfall in August was 0.6 inches more than in September: A = S + 0.6
Using substitution, we can solve these equations step-by-step:
From the second equation, since A = S + 0.6, we can substitute A in the first equation with S + 0.6: (S + 0.6) + S = 6.2
Combine like terms: 2S + 0.6 = 6.2
Subtract 0.6 from both sides: 2S = 5.6
Divide by 2: S = 2.8
Now, we already know that A = S + 0.6, so A = 2.8 + 0.6 = 3.4
Therefore, the rainfall in August was 3.4 inches and in September was 2.8 inches.
