Mastering Ratios and Percentages in Sport

Answer explanation

The ratio of water to electrolyte powder is 3:2. If you use 300 grams of water, set up the proportion: 300/3 = x/2. Solving for x gives x = 200 grams of electrolyte powder.

Answer explanation

To find 35% of 80 points, calculate 0.35 × 80 = 28. Therefore, the correct answer is 28.

Answer explanation

To find the percentage of successful free throws, convert \frac{3}{5} to a percentage. Multiply by 100: \frac{3}{5} \times 100 = 60\%. Thus, the correct answer is 60\%.

Answer explanation

The ratio of boys to girls is 5:7. If there are 35 boys, we can set up the proportion: 5/7 = 35/x. Solving for x gives x = (7 * 35) / 5 = 49. Thus, there are 49 girls in the team.

• £88

• £90

• £92

• £94

Answer explanation

To find the new price, calculate 15% of £80, which is £12. Add this to the original price: £80 + £12 = £92. Therefore, the new price is £92.

Answer explanation

The athlete consumes 30% of 750 ml, which is 225 ml. Therefore, the remaining amount is 750 ml - 225 ml = 525 ml. Thus, the correct answer is 525 ml.

Answer explanation

To find the percentage increase, use the formula: \( \frac{(880 - 800)}{800} \times 100 = 10\% \). Thus, the percentage increase in membership is \(10\%\), which is the correct answer.

A sports club bought a batch of footballs for £600 and later sold them for £480. What is the percentage decrease in price?

Answer explanation

The price decrease is £600 - £480 = £120. The percentage decrease is (120/600) * 100 = 20%. Thus, the correct answer is 20%.

In a basketball game, a player successfully makes 0.125 of their free throws. Express this success rate as a percentage.

Answer explanation

To convert the success rate of 0.125 to a percentage, multiply by 100. Thus, 0.125 × 100 = 12.5%. Therefore, the correct answer is 12.5%.

Answer explanation

The ratio of red to blue jerseys is 4:3. If there are 21 blue jerseys, we can set up the proportion: 4/3 = x/21. Solving for x gives x = (4/3) * 21 = 28. Thus, there are 28 red jerseys.