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20 January, 10:19

On a 750 mile road trip thelma drove 110 miles more than Louise how far did each person drive?

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  1. 20 January, 11:51
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    Louise drove 320 miles and Thelma drove 430 miles

    Step-by-step explanation:

    Assume that Louise drove x mile

    ∵ Louise drove x miles

    ∵ Thelma drove 110 miles more than Louise

    - Add 110 to x to find Thelma's miles

    ∴ Thelma drove x + 110 miles

    ∵ The road trip is 750 miles

    - Add x and (x + 110) and equate the sum by 750

    ∴ x + (x + 110) = 750

    - Add the like term in the left hand side

    ∴ 2x + 110 = 750

    - Subtract 110 from both sides

    ∴ 2x = 640

    - Divide both sides by 2

    ∴ x = 320

    ∵ x represents the number of miles that Louise drove

    ∴ Louise drove 320 miles

    ∵ x + 110 represents the number of miles that Thelma drove

    ∴ Thelma drove (320 + 110)

    ∴ Thelma drove 430 miles
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