Free Online 11+ Maths Tutoring – Open to All

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Free Online 11+ Maths Tutoring – Open to All Hi! I’m Rithvik Muthuvelu , a GCSE student at King Edward’s School, Birmingham , and I’m offering free weekly online maths sessions to help students prepare for the 11+ entrance exams . These sessions are open to anyone who wants to improve their maths skills—no school restrictions. What You’ll Get Free weekly online maths classes Focused 11+ preparation : problem-solving, arithmetic, word problems, exam strategies Small-group format for better interaction Ideal for Year 4 and Year 5 students How to Join Weekly Session: Saturdays at 2:00 PM Google Meet Link: https://meet.google.com/nrk-iwmh-gij Contact Email: rithvikmu1@gmail.com If your child is preparing for the 11+ and would like extra support, feel free to join the class or get in touch. Looking forward to helping more students learn and grow! — Rithvik Muthuvelu  
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How many apples

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A farmer packed some apples into bags. He filled 1/3 of the bags with 6 apples each, 1/2 of the bags with 4 apples each, and the remaining 4 bags with 10 apples each.

If he used a total of 36 bags, how many apples did he pack altogether?

Comments

  1. Rithvik10 December 2025 at 17:16

    Step 1: Find out how many bags are in each group.

    Total bags = 36

    1/3 of 36 = 12 bags (with 6 apples each)

    1/2 of 36 = 18 bags (with 4 apples each)
    So far: 12 + 18 = 30 bags used

    Remaining bags = 36 - 30 = 6 bags, but the question says 4 bags are left.
    → This shows a contradiction, so let’s check carefully.

    Problem says:

    1/3 of the bags → 6 apples each

    1/2 of the bags → 4 apples each

    Remaining 4 bags → 10 apples each

    Let’s call the total number of bags = x

    Then:

    Bags with 6 apples = (1/3)x

    Bags with 4 apples = (1/2)x

    Bags with 10 apples = 4

    So:

    (1/3)x + (1/2)x + 4 = x

    Step 2: Solve for x

    Find a common denominator (LCD of 3 and 2 is 6):

    (1/3)x = 2x/6
    (1/2)x = 3x/6

    So:

    2x/6 + 3x/6 + 4 = x
    (5x/6) + 4 = x

    Now subtract 5x/6 from both sides:

    4 = x - 5x/6
    4 = x(1 - 5/6)
    4 = x(1/6)

    Multiply both sides by 6:

    x = 24

    Total bags = 24

    Now calculate how many bags in each group:

    1/3 of 24 = 8 bags with 6 apples

    1/2 of 24 = 12 bags with 4 apples

    Remaining = 24 - (8 + 12) = 4 bags with 10 apples ✅

    Step 3: Calculate total apples

    8 bags × 6 apples = 48 apples

    12 bags × 4 apples = 48 apples

    4 bags × 10 apples = 40 apples

    Total = 48 + 48 + 40 = 136 apples

    ReplyDelete

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