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Calculate the following percentages: a) 10% of 240, b) 20% of 250, c) 25% of 24, d) 50% of 670, e) 40% of 40, f) 30% of 240.

Mathematics

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Here are the solutions to the problems:

1. Calculate:

a)

  1. Convert the percentage to a decimal or fraction.

    10%=1010010\% = \frac{10}{100}

  2. Multiply by the given number.

    10% of 240=10100×240=0.10×240=2410\% \text{ of } 240 = \frac{10}{100} \times 240 = 0.10 \times 240 = 24

    The answer is 24\boxed{\text{24}}

    b)

  3. Convert the percentage to a decimal or fraction.

    20%=2010020\% = \frac{20}{100}

  4. Multiply by the given number.

    20% of 250=20100×250=0.20×250=5020\% \text{ of } 250 = \frac{20}{100} \times 250 = 0.20 \times 250 = 50

    The answer is 50\boxed{\text{50}}

    c)

  5. Convert the percentage to a decimal or fraction.

    25%=2510025\% = \frac{25}{100}

  6. Multiply by the given number.

    25% of 24=25100×24=0.25×24=625\% \text{ of } 24 = \frac{25}{100} \times 24 = 0.25 \times 24 = 6

    The answer is 6\boxed{\text{6}}

    d)

  7. Convert the percentage to a decimal or fraction.

    50%=5010050\% = \frac{50}{100}

  8. Multiply by the given number.

    50% of 670=50100×670=0.50×670=33550\% \text{ of } 670 = \frac{50}{100} \times 670 = 0.50 \times 670 = 335

    The answer is 335\boxed{\text{335}}

    e)

  9. Convert the percentage to a decimal or fraction.

    40%=4010040\% = \frac{40}{100}

  10. Multiply by the given number.

    40% of 40=40100×40=0.40×40=1640\% \text{ of } 40 = \frac{40}{100} \times 40 = 0.40 \times 40 = 16

    The answer is 16\boxed{\text{16}}

    f)

  11. Convert the percentage to a decimal or fraction.

    30%=3010030\% = \frac{30}{100}

  12. Multiply by the given number.

    30% of 240=30100×240=0.30×240=7230\% \text{ of } 240 = \frac{30}{100} \times 240 = 0.30 \times 240 = 72

    The answer is 72\boxed{\text{72}}

    g)

  13. Convert the percentage to a decimal or fraction.

    70%=7010070\% = \frac{70}{100}

  14. Multiply by the given number.

    70% of 9090=70100×9090=0.70×9090=636370\% \text{ of } 9090 = \frac{70}{100} \times 9090 = 0.70 \times 9090 = 6363

    The answer is 6363\boxed{\text{6363}}

    h)

  15. Convert the percentage to a decimal or fraction.

    1%=11001\% = \frac{1}{100}

  16. Multiply by the given number.

    1% of 7000=1100×7000=0.01×7000=701\% \text{ of } 7000 = \frac{1}{100} \times 7000 = 0.01 \times 7000 = 70

    The answer is 70\boxed{\text{70}}

    i)

  17. Convert the percentage to a decimal or fraction.

    5%=51005\% = \frac{5}{100}

  18. Multiply by the given number.

    5% of 3200=5100×3200=0.05×3200=1605\% \text{ of } 3200 = \frac{5}{100} \times 3200 = 0.05 \times 3200 = 160

    The answer is 160\boxed{\text{160}}

    2. Find 50% of:

    a)

  19. Calculate 50% of 680 g.

    50% of 680 g=50100×680 g=0.50×680 g=340 g50\% \text{ of } 680 \text{ g} = \frac{50}{100} \times 680 \text{ g} = 0.50 \times 680 \text{ g} = 340 \text{ g}

    The answer is 340 g\boxed{\text{340 g}}

    b)

  20. Calculate 50% of 2 468 km.

    50% of 2468 km=50100×2468 km=0.50×2468 km=1234 km50\% \text{ of } 2468 \text{ km} = \frac{50}{100} \times 2468 \text{ km} = 0.50 \times 2468 \text{ km} = 1234 \text{ km}

    The answer is 1234 km\boxed{\text{1234 km}}

    c)

  21. Calculate 50% of R14.

    50% of R14=50100×R14=0.50×R14=R750\% \text{ of } \text{R}14 = \frac{50}{100} \times \text{R}14 = 0.50 \times \text{R}14 = \text{R}7

    The answer is R7\boxed{\text{R7}}

    d)

  22. Calculate 50% of 750 ml.

    50% of 750 ml=50100×750 ml=0.50×750 ml=375 ml50\% \text{ of } 750 \text{ ml} = \frac{50}{100} \times 750 \text{ ml} = 0.50 \times 750 \text{ ml} = 375 \text{ ml}

    The answer is 375 ml\boxed{\text{375 ml}}

    Find 20% of:

    e)

  23. Calculate 20% of 245 g.

    20% of 245 g=20100×245 g=0.20×245 g=49 g20\% \text{ of } 245 \text{ g} = \frac{20}{100} \times 245 \text{ g} = 0.20 \times 245 \text{ g} = 49 \text{ g}

    The answer is 49 g\boxed{\text{49 g}}

    f)

  24. Calculate 20% of 45 km.

    20% of 45 km=20100×45 km=0.20×45 km=9 km20\% \text{ of } 45 \text{ km} = \frac{20}{100} \times 45 \text{ km} = 0.20 \times 45 \text{ km} = 9 \text{ km}

    The answer is 9 km\boxed{\text{9 km}}

    g)

  25. Calculate 20% of R555.

    20% of R555=20100×R555=0.20×R555=R11120\% \text{ of } \text{R}555 = \frac{20}{100} \times \text{R}555 = 0.20 \times \text{R}555 = \text{R}111

    The answer is R111\boxed{\text{R111}}

    h)

  26. Calculate 20% of 2 085 ml.

    20% of 2085 ml=20100×2085 ml=0.20×2085 ml=417 ml20\% \text{ of } 2085 \text{ ml} = \frac{20}{100} \times 2085 \text{ ml} = 0.20 \times 2085 \text{ ml} = 417 \text{ ml}

    The answer is 417 ml\boxed{\text{417 ml}}

    Find 75% of:

    i)

  27. Calculate 75% of 444 kg.

    75% of 444 kg=75100×444 kg=0.75×444 kg=333 kg75\% \text{ of } 444 \text{ kg} = \frac{75}{100} \times 444 \text{ kg} = 0.75 \times 444 \text{ kg} = 333 \text{ kg}

    The answer is 333 kg\boxed{\text{333 kg}}

    j)

  28. Calculate 75% of R1 000.

    75% of R1000=75100×R1000=0.75×R1000=R75075\% \text{ of } \text{R}1000 = \frac{75}{100} \times \text{R}1000 = 0.75 \times \text{R}1000 = \text{R}750

    The answer is R750\boxed{\text{R750}}

    k)

  29. Calculate 75% of 4 040 km.

    75% of 4040 km=75100×4040 km=0.75×4040 km=3030 km75\% \text{ of } 4040 \text{ km} = \frac{75}{100} \times 4040 \text{ km} = 0.75 \times 4040 \text{ km} = 3030 \text{ km}

    The answer is 3030 km\boxed{\text{3030 km}}

    l)

  30. Calculate 75% of 728 ml.

    75% of 728 ml=75100×728 ml=0.75×728 ml=546 ml75\% \text{ of } 728 \text{ ml} = \frac{75}{100} \times 728 \text{ ml} = 0.75 \times 728 \text{ ml} = 546 \text{ ml}

    The answer is 546 ml\boxed{\text{546 ml}}

    3.

  31. Identify the total number of learners and the percentage who prefer tennis.

    Total learners = 36
    Percentage who prefer tennis = 25%

  32. Calculate 25% of 36.

    25% of 36=25100×36=0.25×36=925\% \text{ of } 36 = \frac{25}{100} \times 36 = 0.25 \times 36 = 9

    This represents 9 children.
    The answer is 9 children\boxed{\text{9 children}}

    4.
    Total hotel guests = 420

    a)

  33. Identify the percentage of guests not happy with cleanliness.

    Percentage not happy = 20%

  34. Calculate 20% of 420 guests.

    20% of 420=20100×420=0.20×420=8420\% \text{ of } 420 = \frac{20}{100} \times 420 = 0.20 \times 420 = 84

    84 guests were not happy with the standard of cleanliness.
    The answer is 84 guests\boxed{\text{84 guests}}

    b)

  35. Identify the percentage of guests who found the staff unhelpful.

    Percentage dissatisfied with staff = 40%

  36. Calculate 40% of 420 guests.

    40% of 420=40100×420=0.40×420=16840\% \text{ of } 420 = \frac{40}{100} \times 420 = 0.40 \times 420 = 168

    168 guests were dissatisfied with the staff.
    The answer is 168 guests\boxed{\text{168 guests}}

    c)

  37. Identify the percentage of guests who rated the food highly.

    Percentage rated food highly = 70%

  38. Calculate the percentage of guests who did not rate the food highly.

    100%−70%=30%100\% - 70\% = 30\%

  39. Calculate 30% of 420 guests.

    30% of 420=30100×420=0.30×420=12630\% \text{ of } 420 = \frac{30}{100} \times 420 = 0.30 \times 420 = 126

    126 guests did not rate the food highly.
    The answer is 126 guests\boxed{\text{126 guests}}

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