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Answer :
Sure! Let's solve the problem step-by-step:
1. Identify What We Know:
We are given that the temperature in Miami is 82 degrees. We also know that this temperature is 22 degrees warmer than three times the temperature in Bangor, Maine.
2. Set Up Variables:
Let the temperature in Bangor be represented by [tex]\( x \)[/tex].
3. Express the Relationship:
The information "22 degrees warmer than three times the temperature in Bangor" means:
- Three times the temperature in Bangor is [tex]\( 3x \)[/tex].
- Adding 22 degrees to this gives us the temperature in Miami: [tex]\( 3x + 22 \)[/tex].
4. Set Up the Equation:
Since we know the temperature in Miami is 82 degrees, we can write the equation:
[tex]\[
3x + 22 = 82
\][/tex]
5. Solve for [tex]\( x \)[/tex]:
- Subtract 22 from both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
3x + 22 - 22 = 82 - 22
\][/tex]
[tex]\[
3x = 60
\][/tex]
- 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. Identify What We Know:
We are given that the temperature in Miami is 82 degrees. We also know that this temperature is 22 degrees warmer than three times the temperature in Bangor, Maine.
2. Set Up Variables:
Let the temperature in Bangor be represented by [tex]\( x \)[/tex].
3. Express the Relationship:
The information "22 degrees warmer than three times the temperature in Bangor" means:
- Three times the temperature in Bangor is [tex]\( 3x \)[/tex].
- Adding 22 degrees to this gives us the temperature in Miami: [tex]\( 3x + 22 \)[/tex].
4. Set Up the Equation:
Since we know the temperature in Miami is 82 degrees, we can write the equation:
[tex]\[
3x + 22 = 82
\][/tex]
5. Solve for [tex]\( x \)[/tex]:
- Subtract 22 from both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[
3x + 22 - 22 = 82 - 22
\][/tex]
[tex]\[
3x = 60
\][/tex]
- 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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