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In a basketball game, a player scores 15 points in the first half and 20 points

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Question: In a basketball game, a player scores 15 points in the first half and 20 points in the second half. What is the ratio of points scored in the first half to the total points scored? (2020)

Options:

  1. 3:7
  2. 3:5
  3. 5:7
  4. 2:5

Correct Answer: 3:7

Exam Year: 2020

Solution: 

Total points scored = 15 + 20 = 35. The ratio of points scored in the first half to total points is 15:35, which simplifies to 3:7.

In a basketball game, a player scores 15 points in the first half and 20 points

Practice Questions

Q1
In a basketball game, a player scores 15 points in the first half and 20 points in the second half. What is the ratio of points scored in the first half to the total points scored? (2020)
  1. 3:7
  2. 3:5
  3. 5:7
  4. 2:5

Questions & Step-by-Step Solutions

In a basketball game, a player scores 15 points in the first half and 20 points in the second half. What is the ratio of points scored in the first half to the total points scored? (2020)
  • Step 1: Identify the points scored in the first half, which is 15 points.
  • Step 2: Identify the points scored in the second half, which is 20 points.
  • Step 3: Calculate the total points scored by adding the points from both halves: 15 + 20.
  • Step 4: The total points scored is 35.
  • Step 5: Write the ratio of points scored in the first half (15) to the total points scored (35).
  • Step 6: The ratio is 15:35.
  • Step 7: Simplify the ratio by finding the greatest common divisor of 15 and 35, which is 5.
  • Step 8: Divide both numbers in the ratio by 5: 15 ÷ 5 = 3 and 35 ÷ 5 = 7.
  • Step 9: The simplified ratio is 3:7.
  • Ratios – Understanding how to express the relationship between two quantities.
  • Simplification of Fractions – The process of reducing a fraction to its simplest form.
  • Addition of Integers – Calculating the total points scored by adding points from both halves.
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