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Question
a meteorologist found that the rainfall in weston during the first half of the month was 1/2 of an inch. at the end of the month, he found that the total rainfall for the month was 2 inches. how much did it rain in the second half of the month? write your answer as a fraction or as a whole or mixed number. inches
Step1: Define variables
Let \( x \) be the rainfall in the second half of the month. The rainfall in the first half is \( \frac{1}{2} \) inch, and the total is 2 inches. So the equation is \( \frac{1}{2}+x = 2 \).
Step2: Solve for \( x \)
Subtract \( \frac{1}{2} \) from both sides: \( x=2 - \frac{1}{2} \). Convert 2 to \( \frac{4}{2} \), then \( x=\frac{4}{2}-\frac{1}{2}=\frac{3}{2}=1\frac{1}{2} \).
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\( 1\frac{1}{2} \) (or \( \frac{3}{2} \))