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Using long division calculate the following:

Mathematics

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Here are the calculations for your math problems:

1. Using long division calculate the following:

a) A bus carries 36 learners. 864 learners are going on a trip. How many buses are needed?

  1. Divide the total number of learners by the capacity of one bus.

    86436\frac{864}{36}
  2. Perform long division.

    2436)864‾−72↓144−1440\begin{array}{r} 24 \\ 36 \overline{) 864} \\ -72 \downarrow \\ \hline 144 \\ -144 \\ \hline 0 \end{array}
  3. State the answer.

    You need 24 buses.

    b) A shop packs 960 apples into boxes of 30. How many boxes are filled?

  4. Divide the total number of apples by the number of apples per box.

    96030\frac{960}{30}
  5. Perform long division.

    3230)960‾−90↓60−600\begin{array}{r} 32 \\ 30 \overline{) 960} \\ -90 \downarrow \\ \hline 60 \\ -60 \\ \hline 0 \end{array}
  6. State the answer.

    The shop fills 32 boxes.

    c) A number divided by 25 gives 36. What is the number?

  7. Let the unknown number be xx.

    Set up the equation.

    x25=36\frac{x}{25} = 36
  8. To find xx, multiply both sides by 25.

    x=36×25x = 36 \times 25
  9. Perform the multiplication.

    x=36×25x=36×(20+5)x=(36×20)+(36×5)x=720+180x=900\begin{align*} x &= 36 \times 25 \\ x &= 36 \times (20 + 5) \\ x &= (36 \times 20) + (36 \times 5) \\ x &= 720 + 180 \\ x &= 900 \end{align*}
  10. State the answer.

    The number is 900.

    Final Answers:

    a) 24 buses

    b) 32 boxes

    c) 900

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