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John, Mary and Eileen bought a ticket in a draw - Leaving Cert Mathematics - Question 2(a) - 2015

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Question 2(a)

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John, Mary and Eileen bought a ticket in a draw. The ticket cost €50. John paid €25, Mary paid €15 and Eileen paid €10. The ticket won a prize of €20000. The prize i... show full transcript

Worked Solution & Example Answer:John, Mary and Eileen bought a ticket in a draw - Leaving Cert Mathematics - Question 2(a) - 2015

Step 1

Calculate the total contributions

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Answer

The total cost of the ticket is €50, and the contributions are as follows:

  • John: €25
  • Mary: €15
  • Eileen: €10

Total contributions = €25 + €15 + €10 = €50.

Step 2

Determine individual shares

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Answer

Now, calculate each person's share of the total ticket cost:

  • John: ( \frac{25}{50} )
  • Mary: ( \frac{15}{50} )
  • Eileen: ( \frac{10}{50} )

Step 3

Calculate prize money for each person

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Answer

Now multiply their shares by the total prize amount of €20000:

  • John's prize: ( \frac{25}{50} \times 20000 = 10000 )
  • Mary's prize: ( \frac{15}{50} \times 20000 = 6000 )
  • Eileen's prize: ( \frac{10}{50} \times 20000 = 4000 )

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