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If a winner receives a cash prize of $2500 and a runner-up receives $1500, what

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Question: If a winner receives a cash prize of $2500 and a runner-up receives $1500, what is the ratio of the winner\'s prize to the runner-up\'s prize?

Options:

  1. 5:3
  2. 3:5
  3. 2:1
  4. 1:2

Correct Answer: 5:3

Solution:

Ratio = 2500:1500 = 5:3.

If a winner receives a cash prize of $2500 and a runner-up receives $1500, what

Practice Questions

Q1
If a winner receives a cash prize of $2500 and a runner-up receives $1500, what is the ratio of the winner's prize to the runner-up's prize?
  1. 5:3
  2. 3:5
  3. 2:1
  4. 1:2

Questions & Step-by-Step Solutions

If a winner receives a cash prize of $2500 and a runner-up receives $1500, what is the ratio of the winner's prize to the runner-up's prize?
  • Step 1: Identify the cash prize for the winner, which is $2500.
  • Step 2: Identify the cash prize for the runner-up, which is $1500.
  • Step 3: Write the ratio of the winner's prize to the runner-up's prize as 2500:1500.
  • Step 4: Simplify the ratio by dividing both numbers by their greatest common divisor (GCD).
  • Step 5: The GCD of 2500 and 1500 is 500.
  • Step 6: Divide 2500 by 500 to get 5.
  • Step 7: Divide 1500 by 500 to get 3.
  • Step 8: Write the simplified ratio as 5:3.
  • Ratio Calculation – Understanding how to express the relationship between two quantities as a ratio.
  • Simplifying Ratios – The process of reducing a ratio to its simplest form.
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