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.
failed

Solution

failed
failed

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 w + s = 266
  2. Washington had 4 more hits than Sanchez: w=s+4 w = s + 4
Step 2: Solve the System of Equations

Substitute the second equation into the first equation to solve for s s :

s+(s+4)=266 s + (s + 4) = 266

Simplify and solve for s s :

2s+4=266 2s + 4 = 266

Subtract 4 from both sides:

2s=262 2s = 262

Divide by 2:

s=131 s = 131

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

w=131+4=135 w = 131 + 4 = 135

Final Answer

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

Was this solution helpful?
failed
Unhelpful
failed
Helpful