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Diana had a large stack of playing cards. She knew that 17 of them were kings. She took a sample of 30 cards and found 4 kings. Approximately how many playing card did Diana have?

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frika

Answer:

Diana approximately had 128 cards

Step-by-step explanation:

Let n  be the number of cards Diana had. She knows that

  • there are 17 kings among n cards
  • 4 kings among 30 cards

Write a proportion:

[tex]\dfrac{17}{n}=\dfrac{4}{30}[/tex]

Cross multiply:

[tex]4n=17\cdot 30\\ \\4n=510\\ \\n=\dfrac{510}{4}=127.5\approx 128[/tex]

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