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: