Answer:
Ricky = 1201
Pedro = 1476
Explanation:
Assign variables
let p be the number of Pedro's base hits
let r be the number of Ricky's base hits
Create a system of equations
p + r = 2677 <= Pedro and Ricky got 2677 base hits
p = r + 275 <= Pedro had 275 more hits than Ricky
Solve using the substitution method (replace a variable with an expression)
p + r = 2677
Substitute "p" with "r + 275"
r + 275 + r = 2677
Combine like terms to simplify
2r + 275 = 2677
Isolate "r" by moving everything else to the right side.
2r = 2677 - 275 Subtract 275 from both sides
2r = 2402
2r/2 = 2402/2 Divide both sides by 2
r = 1201 Ricky's base hits
To find Pedro's hits, substitute "r" into any equation.
p = r + 275
p = 1201 + 275 Substitute r = 1201, then add
p = 1476 Pedro's base hits
∴ Ricky had 1201 base hits and Pedro had 1476 base hits.