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A zoo trip costs R90. Adult tickets cost R20 and child tickets cost R10. Find all possible combinations of adults and children that could have visited the zoo.

Mathematics

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11 May 2026: Challenge - A visit to the zoo

Let AA be the number of adults and CC be the number of children.
The cost for an adult ticket is R20 and for a child ticket is R10.
The total cost is R90.
The equation is: 20A+10C=9020A + 10C = 90.
We can simplify this by dividing by 10: 2A+C=92A + C = 9.

We need to find whole number solutions for AA and CC.

  • Step 1: Find possible combinations.

    • If A=1A = 1: 2(1)+C=9⇒2+C=9⇒C=72(1) + C = 9 \Rightarrow 2 + C = 9 \Rightarrow C = 7. (1 adult, 7 children)
    • If A=2A = 2: 2(2)+C=9⇒4+C=9⇒C=52(2) + C = 9 \Rightarrow 4 + C = 9 \Rightarrow C = 5. (2 adults, 5 children)
    • If A=3A = 3: 2(3)+C=9⇒6+C=9⇒C=32(3) + C = 9 \Rightarrow 6 + C = 9 \Rightarrow C = 3. (3 adults, 3 children)
    • If A=4A = 4: 2(4)+C=9⇒8+C=9⇒C=12(4) + C = 9 \Rightarrow 8 + C = 9 \Rightarrow C = 1. (4 adults, 1 child)
    • If A=5A = 5: 2(5)+C=9⇒10+C=9⇒C=−12(5) + C = 9 \Rightarrow 10 + C = 9 \Rightarrow C = -1. (Not possible)
  • Step 2: Provide one answer. Let's choose the first valid combination. How many are children? 7\boxed{7} How many are adults? 1\boxed{1}

  • Step 3: List other possible answers. Is there another answer? Yes. Adults 2\boxed{2} Children 5\boxed{5} Adults 3\boxed{3} Children 3\boxed{3} Adults 4\boxed{4} Children 1\boxed{1}

12 May 2026: Homework - Parcel weight

One parcel weighs 3 kg.

  • a. 2 Parcel:
  1. Multiply the weight of one parcel by the number of parcels.

    $$
    2 \times 3\, \text{kg} = 6\, \text{kg}
    $$
    The weight of 2 parcels is $\boxed{6\, \text{kg}}$.
    
    • b. 3 Parcel:
  2. Multiply the weight of one parcel by the number of parcels.

    $$
    3 \times 3\, \text{kg} = 9\, \text{kg}
    $$
    The weight of 3 parcels is $\boxed{9\, \text{kg}}$.
    
    • c. 4 Parcel:
  3. Multiply the weight of one parcel by the number of parcels.

    $$
    4 \times 3\, \text{kg} = 12\, \text{kg}
    $$
    The weight of 4 parcels is $\boxed{12\, \text{kg}}$.
    

    13 May 2026: Homework - Subtract without a calculator

    • a. 68−2468 - 24
  4. Subtract the ones digits

    8−4=48 - 4 = 4.

  5. Subtract the tens digits

    6−2=46 - 2 = 4. 68−24=44 68 - 24 = \boxed{44}

    • b. 60−3860 - 38
  6. Subtract the ones digits.

    Since 0<80 < 8, borrow from the tens place. The 6 becomes 5, and the 0 becomes 10. So, 10−8=210 - 8 = 2.

  7. Subtract the tens digits

    5−3=25 - 3 = 2. 60−38=22 60 - 38 = \boxed{22}

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