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30 September, 19:25

You and your friend are splitting a restaurant bill and leaving a tip. You pay half of the bill plus $5. Your friend pays half of the bill plus 25% of half the bill. You and your friend pay the same total amount. How much is half the bill?

A. Write an equation. Let x be the cost of half the bill.

B. Solve the equation. Show your work.

C. Check your solution. Show your work.

D. State the solution in complete sentences.

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Answers (1)
  1. 30 September, 19:29
    0
    X + 5 = x + 0.25x

    x + 5 = 1.25x

    5 = 1.25x - x

    5 = 0.25x

    5/0.25 = x

    20 = x

    check ...

    x + 5 = x + 0.25x

    20 + 5 = 20 + 0.25 (20)

    25 = 20 + 5

    25 = 25 (correct)

    Half the bill is $ 20.
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