Q8. - Algebra 1

Question

Among the career home run leaders for major league baseball, Hank Aaron has 175 fewer than twice the number that Dave Winfield has. Hank Aaron hit 755 home runs. Write an equation for this situation. How many home runs did Winfield hit in his career?

Step-by-Step Solution

Answer

The equation of a given situation is $2x-175=755$.

Dave Winfield has 465 home runs.

Step 1. Make the equation.

Hank Aaron has 175 runs less than twice the runs that Dave Winfield has.

Hank Aaron hits 755 home runs.

Assume that Dave Winfield has x runs.

The equation is $2x-175=755$.

Step 2. Isolate the variable.

$\begin{array}{l}2x-175=755\\ 2x=755+175\\ 2x=930\end{array}$

Step 3. Find the value of x from the equation.

$\begin{array}{l}x=\frac{930}{2}\\ x=465\end{array}$

Dave Winfield has 465 home runs.