Certainly! Let's break down the problem step-by-step:
1. Understanding the problem:
- The temperature in Tampa, Florida (let's call it [tex]\( T_{tampa} \)[/tex]), is given as 75 degrees.
- The temperature in Chicago, Illinois (let's call it [tex]\( T_{chicago} \)[/tex]) is what we need to determine.
- The problem states that the temperature in Tampa is 15 degrees warmer than twice the temperature in Chicago.
2. Formulating the equation:
- Let's translate the given information into a mathematical equation.
- According to the problem, the temperature in Tampa is 15 degrees warmer than twice the temperature in Chicago. In mathematical terms, this can be written as:
[tex]\[
T_{tampa} = 2 \times T_{chicago} + 15
\][/tex]
- We know the temperature in Tampa ([tex]\( T_{tampa} \)[/tex]) is 75 degrees, so we can substitute that value into the equation:
[tex]\[
75 = 2 \times T_{chicago} + 15
\][/tex]
3. Isolating the variable [tex]\( T_{chicago} \)[/tex]:
- To find [tex]\( T_{chicago} \)[/tex], we need to isolate it on one side of the equation. We'll start by subtracting 15 from both sides of the equation to move the constant term:
[tex]\[
75 - 15 = 2 \times T_{chicago}
\][/tex]
- Simplifying the left side:
[tex]\[
60 = 2 \times T_{chicago}
\][/tex]
4. Solving for [tex]\( T_{chicago} \)[/tex]:
- Next, we divide both sides of the equation by 2 to solve for [tex]\( T_{chicago} \)[/tex]:
[tex]\[
T_{chicago} = \frac{60}{2}
\][/tex]
- Performing the division gives us:
[tex]\[
T_{chicago} = 30
\][/tex]
5. Conclusion:
- The temperature in Chicago is 30 degrees.
