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4 June, 18:39

A questionnaire has determined that 20% of the residents of Flaugamuck County own an iPod. Furthermore, 80% of these iPod owners are under 30 years of age, whereas 20% are 30 or older. Only 35% of the people who don't own iPods are under 30 years of age. What percentage of the residents who are 30 or older own iPods?

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  1. 4 June, 19:52
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    P = 7.14%

    The percentage of those 30 years or older that own an ipod is 7.14%

    Step-by-step explanation:

    Given;

    Percentage of ipod owners Pi = 20%

    Percentage who don't own ipod Pd = 100-20 = 80%

    For age 30 or older;

    Percentage of ipod owners who belong to this group

    Po = 20% of Pi

    Percentage who don't have an ipod but belong to this group Pu = 100-35% = 65% of Pd

    The percentage of those 30 years or older that own an ipod is;

    P = Po / (Po+Pu) * 100%

    Po = 20% of Pi = 20% of 20% = 0.2*20 = 4%

    Pu = 65% of Pd = 65% of 80% = 0.65*80% = 52%

    Substituting the values;

    P = 4 / (4+52) * 100%

    P = 7.14%
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