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.
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.
Solution
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:
The total number of hits:
\[
w + s = 266
\]
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 \( w \):