Answer :
To solve the problem, we need to determine the temperature in Bangor, Maine.
1. We are told that the temperature in Miami, Florida, is 22 degrees warmer than three times the temperature in Bangor, Maine.
2. The temperature in Miami is given as 82 degrees.
3. Let's denote the temperature in Bangor, Maine, as [tex]\( x \)[/tex].
4. According to the problem, the relationship between the temperatures in Miami and Bangor is expressed as:
[tex]\[
\text{Temperature in Miami} = 3 \times \text{Temperature in Bangor} + 22
\][/tex]
5. Plug the known temperature in Miami into the equation:
[tex]\[
82 = 3x + 22
\][/tex]
6. To solve for [tex]\( x \)[/tex], we need to isolate it:
- First, subtract 22 from both sides of the equation to get rid of the "+22":
[tex]\[
82 - 22 = 3x
\][/tex]
[tex]\[
60 = 3x
\][/tex]
- Next, divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{60}{3}
\][/tex]
7. Calculate the result:
[tex]\[
x = 20
\][/tex]
Therefore, the temperature in Bangor, Maine, is 20 degrees. The correct equation that matches this calculation is [tex]\( 3x + 22 = 82 \)[/tex].
1. We are told that the temperature in Miami, Florida, is 22 degrees warmer than three times the temperature in Bangor, Maine.
2. The temperature in Miami is given as 82 degrees.
3. Let's denote the temperature in Bangor, Maine, as [tex]\( x \)[/tex].
4. According to the problem, the relationship between the temperatures in Miami and Bangor is expressed as:
[tex]\[
\text{Temperature in Miami} = 3 \times \text{Temperature in Bangor} + 22
\][/tex]
5. Plug the known temperature in Miami into the equation:
[tex]\[
82 = 3x + 22
\][/tex]
6. To solve for [tex]\( x \)[/tex], we need to isolate it:
- First, subtract 22 from both sides of the equation to get rid of the "+22":
[tex]\[
82 - 22 = 3x
\][/tex]
[tex]\[
60 = 3x
\][/tex]
- Next, divide both sides by 3 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{60}{3}
\][/tex]
7. Calculate the result:
[tex]\[
x = 20
\][/tex]
Therefore, the temperature in Bangor, Maine, is 20 degrees. The correct equation that matches this calculation is [tex]\( 3x + 22 = 82 \)[/tex].
