Calculate Success Rate: Finding Percentage of 89 Soccer Shots with 17 Misses

Q: Why do I subtract the misses from total attempts?

Because we need the number of successful goals, not the misses! If Emmanuel attempted 89 shots and missed 17, then he scored 89 - 17 = 72 goals.

Q: Should I calculate the miss rate or success rate?

The question asks "what percentage of times does Emmanuel score?" This means we want the success rate, so use goals scored divided by total attempts.

Q: How do I know when to round my percentage?

Look at the answer choices! Since $ \frac{72}{89} \times 100\% = 80.90\% $, we round to the nearest whole percent, which is 81%.

Q: What if I get confused about which number goes where?

Remember the formula: Percentage = (Part/Whole) × 100%. The "part" is goals scored (what we want), and the "whole" is total attempts.

Q: Can I check my answer another way?

Yes! Calculate the miss rate: $ \frac{17}{89} \times 100\% \approx 19\% $. Success rate + miss rate should equal 100%, so 81% + 19% = 100% ✓

Percentage Calculations with Success Rates

Emmanuel is training for an important football match in two days.

To prepare, he tries to score as many goals as possible.

In today's practice, Emmanuel misses 17 shots out of the 89 he attempts.

Approximately what percentage of times does Emmanuel score?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Calculate the number of goals scored by Emmanuel.
Step 2: Use the percentage formula to determine the scoring percentage.
Step 3: Compare the result with the provided answer choices.

Now, let's work through each step:
Step 1: Emmanuel's number of goals scored is the total attempts minus missed shots. Therefore, $\text{Goals Scored} = 89 - 17 = 72$ .
Step 2: The percentage of successful shots is given by the formula: $\begin{aligned} \text{Scoring Percentage} &= \left( \frac{\text{Goals Scored}}{\text{Total Attempts}} \right) \times 100\% \\ &= \left( \frac{72}{89} \right) \times 100\% \approx 80.90\% \end{aligned}$
Step 3: Rounding this result gives us approximately 81%.

Therefore, the percentage of times Emmanuel scores is $81\%$ .

Final Answer

81%

Key Points to Remember

Essential concepts to master this topic

Formula: Success rate equals goals scored divided by total attempts
Technique: Subtract misses from total: 89 - 17 = 72 goals
Check: Verify that 72/89 × 100% ≈ 81% matches answer choice ✓

Common Mistakes

Avoid these frequent errors

Using misses instead of goals in percentage calculation
Don't calculate 17/89 × 100% = 19% miss rate! This gives the failure percentage, not the success rate. Always use goals scored (total - misses) in the numerator for success percentage.

Practice Quiz

Test your knowledge with interactive questions

Approximately what is $\frac{11}{50}$ written as a percentage?

FAQ

Everything you need to know about this question

Why do I subtract the misses from total attempts?

Because we need the number of successful goals, not the misses! If Emmanuel attempted 89 shots and missed 17, then he scored 89 - 17 = 72 goals.

Should I calculate the miss rate or success rate?

The question asks "what percentage of times does Emmanuel score?" This means we want the success rate, so use goals scored divided by total attempts.

How do I know when to round my percentage?

Look at the answer choices! Since $\frac{72}{89} \times 100\% = 80.90\%$ , we round to the nearest whole percent, which is 81%.

What if I get confused about which number goes where?

Remember the formula: Percentage = (Part/Whole) × 100%. The "part" is goals scored (what we want), and the "whole" is total attempts.

Can I check my answer another way?

Yes! Calculate the miss rate: $\frac{17}{89} \times 100\% \approx 19\%$ . Success rate + miss rate should equal 100%, so 81% + 19% = 100% ✓

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