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Explanation of the Solution

Module 1 Day 2 Your Turn Part 1
algebra day2-challenge
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  • A
    aaronhma M1★ M2★ M3★ M4★ M5★
    last edited by aaronhma Apr 20, 2021, 1:50 AM Apr 20, 2021, 1:36 AM

    Link to the question/solution

    In the solution, how is it that

    14\frac{1}{4} 41​

    of the pizza remains? Also, can someone please explain the solution to me (I think the answer is NO, as I got 6)? Thanks 🙂

    Professor Loh is the best mathematician and teacher

    A 1 Reply Last reply Apr 20, 2021, 3:43 AM Reply Quote 2
    • A
      audrey MOD @aaronhma
      last edited by audrey Apr 20, 2021, 3:43 AM Apr 20, 2021, 3:43 AM

      @responsibleraccoon Basically, we're trying to figure out how much of the pizza is left after Alice eats 2/3 of it, and Bob eats 1/4 of the remaining.

      First, Alice eats 2/3 of the pizza-- this means that there is 1 - 2/3 = 1/3 of the pizza left. Of that 1/3 pizza (the "leftovers"), Bob eats 1/4 of it. That means, Bob eats (1/4) * (1/3) = 1/12 of the whole pizza.

      Now, we can figure out the amount left after both Alice and Bob ate the pizza-- since Alice ate 2/3 of the whole pizza, and Bob ate 1/12 of the whole pizza, together they ate 2/3 + 1/12 = 8/12 + 1/12 = 9/12 = 3/4 of the whole pizza, leaving 1/4 of the pizza left.

      So you would be correct that the answer is "no" here 🙂

      Hope this helped, and let me know if I could clarify any part of it!

      A 1 Reply Last reply Apr 21, 2021, 2:06 AM Reply Quote 2
      • A
        aaronhma M1★ M2★ M3★ M4★ M5★ @audrey
        last edited by Apr 21, 2021, 2:06 AM

        @audrey Thank you for the awesome explanation! 😃

        Professor Loh is the best mathematician and teacher

        A 1 Reply Last reply Apr 22, 2021, 2:58 AM Reply Quote 2
        • A
          audrey MOD @aaronhma
          last edited by Apr 22, 2021, 2:58 AM

          @aaronhma No problem! 😄

          1 Reply Last reply Reply Quote 1

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