1. Using long division calculate the following:

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? Step 1: Divide the total number of learners by the capacity of one bus. $$ \frac{864}{36} $$ Step 2: Perform long division. $$ \begin{array}{r} 24 \\ 36 \overline{) 864} \\ -72 \downarrow \\ \hline 144 \\ -144 \\ \hline 0 \end{array} $$ Step 3: State the answer. You need 24 buses. b) A shop packs 960 apples into boxes of 30. How many boxes are filled? Step 1: Divide the total number of apples by the number of apples per box. $$ \frac{960}{30} $$ Step 2: Perform long division. $$ \begin{array}{r} 32 \\ 30 \overline{) 960} \\ -90 \downarrow \\ \hline 60 \\ -60 \\ \hline 0 \end{array} $$ Step 3: State the answer. The shop fills 32 boxes. c) A number divided by 25 gives 36. What is the number? Step 1: Let the unknown number be $x$. Set up the equation. $$ \frac{x}{25} = 36 $$ Step 2: To find $x$, multiply both sides by 25. $$ x = 36 \times 25 $$ Step 3: Perform the multiplication. $$ \begin{align*} x &= 36 \times 25 \\ x &= 36 \times (20 + 5) \\ x &= (36 \times 20) + (36 \times 5) \\ x &= 720 + 180 \\ x &= 900 \end{align*} $$ Step 4: State the answer. The number is 900. Final Answers: a) \boxed{\text{24 buses}} b) \boxed{\text{32 boxes}} c) \boxed{\text{900}} That's 2 down. 3 left today — send the next one.