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slega [8]
3 years ago
11

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?
Mathematics
1 answer:
Mandarinka [93]3 years ago
5 0

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:

\dfrac{17}{n}=\dfrac{4}{30}

Cross multiply:

4n=17\cdot 30\\ \\4n=510\\ \\n=\dfrac{510}{4}=127.5\approx 128

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