Question

Together, teammates Pedro and Ricky got 2677 base hits last season. Pedro had 275 more hits than Ricky. How many hits did each player​ have?

Answer 1

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.