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19 May, 14:49

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?

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  1. 19 May, 14:58
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    Ricky = 1201

    Pedro = 1476

    Step-by-step 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.
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