Answer :
Sure, let's solve the problem step-by-step:
We are given that the temperature in Miami is 82 degrees. Additionally, it is 22 degrees warmer than three times the temperature in Bangor, Maine. We want to find the temperature in Bangor. Let's break this down:
1. Set up the relationship between Miami and Bangor's temperatures:
- Let [tex]\( x \)[/tex] represent the temperature in Bangor, Maine.
- According to the problem, the temperature in Miami [tex]\( = 3 \times \text{(Bangor's temperature)} + 22 \)[/tex].
2. Substitute the known value for Miami's temperature:
- We know Miami's temperature is 82 degrees, so we can write the equation as:
[tex]\[
3x + 22 = 82
\][/tex]
3. Solve the equation for [tex]\( x \)[/tex]:
- Start by isolating [tex]\( 3x \)[/tex] on one side:
[tex]\[
3x + 22 = 82
\][/tex]
Subtract 22 from both sides:
[tex]\[
3x = 82 - 22
\][/tex]
[tex]\[
3x = 60
\][/tex]
4. Divide 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. The correct equation choice from the options is [tex]\( 3x + 22 = 82 \)[/tex].
We are given that the temperature in Miami is 82 degrees. Additionally, it is 22 degrees warmer than three times the temperature in Bangor, Maine. We want to find the temperature in Bangor. Let's break this down:
1. Set up the relationship between Miami and Bangor's temperatures:
- Let [tex]\( x \)[/tex] represent the temperature in Bangor, Maine.
- According to the problem, the temperature in Miami [tex]\( = 3 \times \text{(Bangor's temperature)} + 22 \)[/tex].
2. Substitute the known value for Miami's temperature:
- We know Miami's temperature is 82 degrees, so we can write the equation as:
[tex]\[
3x + 22 = 82
\][/tex]
3. Solve the equation for [tex]\( x \)[/tex]:
- Start by isolating [tex]\( 3x \)[/tex] on one side:
[tex]\[
3x + 22 = 82
\][/tex]
Subtract 22 from both sides:
[tex]\[
3x = 82 - 22
\][/tex]
[tex]\[
3x = 60
\][/tex]
4. Divide 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. The correct equation choice from the options is [tex]\( 3x + 22 = 82 \)[/tex].
