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12 November, 06:37

A company that makes hair-care products had 9 comma 000 people try a new shampoo. Of the 9 comma 000 people, 72 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

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  1. 12 November, 06:40
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    The percent of people with mild allergic reaction is 0.8%

    Step-by-step explanation:

    The company has 9000 people, and 72 people have mild allergic reaction.

    The fraction of people with mild reaction is 72 over 9000, i. e. 72/9000

    72 and 9000 are multiple of 9, therefore reducing both by 9, we will have 8/1000.

    8 and 1000 are both multiple of 4, so we will reduce both by 4, we will have

    2/250.

    2/250 can still be reduced by to, therefore we will have 1/125

    To get the percentage, we will now multiply the fraction 1/125 by 100, we will have 100/125

    Reduce both 100 and 125 by 25 which will make 4/5

    then, turning 4/5 to decimal, we will have 0.8%

    Therefore 0.8% of people had a mild allergic reaction
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