Questions: Two minor league baseball players got a total of 266 hits. Washington had 4 more hits than Sanchez. Find the number of hits for each player. Washington had hits. Sanchez had hits.

Two minor league baseball players got a total of 266 hits. Washington had 4 more hits than Sanchez. Find the number of hits for each player.

Washington had  hits. Sanchez had  hits.
Transcript text: Two minor league baseball players got a total of 266 hits. Washington had 4 more hits than Sanchez. Find the number of hits for each player. Washington had $\square$ hits. Sanchez had $\square$ hits.
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Solution

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Solution Steps

Step 1: Set Up the Equations

We are given that two players, Washington and Sanchez, have a total of 266 hits. Additionally, Washington had 4 more hits than Sanchez. We can set up the following equations based on this information:

  1. The total number of hits: \[ w + s = 266 \]
  2. Washington had 4 more hits than Sanchez: \[ w = s + 4 \]
Step 2: Solve the System of Equations

Substitute the second equation into the first equation to solve for \( s \):

\[ s + (s + 4) = 266 \]

Simplify and solve for \( s \):

\[ 2s + 4 = 266 \]

Subtract 4 from both sides:

\[ 2s = 262 \]

Divide by 2:

\[ s = 131 \]

Now, substitute \( s = 131 \) back into the second equation to find \( w \):

\[ w = 131 + 4 = 135 \]

Final Answer

\(\boxed{w = 135}\) and \(\boxed{s = 131}\)

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