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Answer :
To solve this problem, we need to determine the temperature in Bangor, Maine. Let's break it down step by step.
1. Define the Variables:
- Let [tex]\( x \)[/tex] represent the temperature in Bangor, Maine.
2. Formulate the Equation:
- According to the problem, the temperature in Miami is 22 degrees warmer than three times the temperature in Bangor.
- This can be written as: [tex]\( 3x + 22 \)[/tex] (temperature in Miami).
3. Set Up the Equation:
- We are given that the temperature in Miami is 82 degrees.
- Therefore, you set up the equation: [tex]\( 3x + 22 = 82 \)[/tex].
4. Solve for [tex]\( x \)[/tex]:
- First, subtract 22 from both sides of the equation to isolate the term involving [tex]\( x \)[/tex]:
[tex]\[
3x + 22 - 22 = 82 - 22
\][/tex]
[tex]\[
3x = 60
\][/tex]
- Next, divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{60}{3}
\][/tex]
[tex]\[
x = 20
\][/tex]
So, the temperature in Bangor, Maine, is 20 degrees.
1. Define the Variables:
- Let [tex]\( x \)[/tex] represent the temperature in Bangor, Maine.
2. Formulate the Equation:
- According to the problem, the temperature in Miami is 22 degrees warmer than three times the temperature in Bangor.
- This can be written as: [tex]\( 3x + 22 \)[/tex] (temperature in Miami).
3. Set Up the Equation:
- We are given that the temperature in Miami is 82 degrees.
- Therefore, you set up the equation: [tex]\( 3x + 22 = 82 \)[/tex].
4. Solve for [tex]\( x \)[/tex]:
- First, subtract 22 from both sides of the equation to isolate the term involving [tex]\( x \)[/tex]:
[tex]\[
3x + 22 - 22 = 82 - 22
\][/tex]
[tex]\[
3x = 60
\][/tex]
- Next, divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{60}{3}
\][/tex]
[tex]\[
x = 20
\][/tex]
So, the temperature in Bangor, Maine, is 20 degrees.
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