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You are the administrator of an annual essay contest scholarship fund. This year a $84,000 college scholarship is being divided between the top two contestants so that the winner receives five times as much as the runner-up. How much will each contestant receive (in dollars)?

Answer :

The winner got $70,000 and the runner up got $14,000

Let the winner be represented by x and runner up by y

Data given;

  • Amount to be shared = $84000
  • x = 5y

This is a simple case of ratio i.e 1 : 5

Equation

[tex]x = 5y\\84000 = 5y + y\\84000 = 6y\\y = 14000\\[/tex]

The runner up received $14000. let's use this data to find how much the winner got.

[tex]x = 5y \\x = 5 * 14000\\x = 70000[/tex]

From the calculations above, the winner got $70,000 and the runner up got $14,000.

Learn more about ratios here;

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