Math Problem Statement

  1. Alice gets questions right on her spelling quiz. 18 25 a. Find the percentage of questions she gets right. b. Find the unit ratio of questions she gets right to number of questions attempted.

Solution

Let's solve the problem step by step.

Part (a): Find the percentage of questions Alice gets right.

Alice got 18 questions correct out of 25. To find the percentage, use the following formula:

Percentage=(Number of correct questionsTotal number of questions)×100\text{Percentage} = \left(\frac{\text{Number of correct questions}}{\text{Total number of questions}}\right) \times 100

Substitute the values:

Percentage=(1825)×100=72%\text{Percentage} = \left(\frac{18}{25}\right) \times 100 = 72\%

So, Alice got 72% of the questions right.

Part (b): Find the unit ratio of questions Alice gets right to the number of questions attempted.

The unit ratio is simply the ratio of the number of questions she got right to the total number of questions attempted. This is expressed as:

Ratio=Number of correct questionsTotal number of questions=1825\text{Ratio} = \frac{\text{Number of correct questions}}{\text{Total number of questions}} = \frac{18}{25}

So, the unit ratio is 18:25.

Would you like more details or have any questions about these steps?

Related Questions:

  1. If Alice answered 27 out of 30 questions correctly, what percentage did she achieve?
  2. What is the ratio of incorrect to correct answers if Alice got 18 out of 25 questions right?
  3. How many questions would Alice need to get right out of 40 to achieve the same percentage as in part (a)?
  4. If Alice improved her score to 20 out of 25, what would be her new percentage?
  5. What is the unit ratio of incorrect to total questions attempted?

Tip:

When calculating percentages, remember that you are essentially finding out how much of something occurs out of a total (usually 100%). Ratios can always be simplified to their lowest terms to make them easier to understand.

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Math Problem Analysis

Mathematical Concepts

Percentage
Ratios

Formulas

Percentage = (Number of correct questions / Total number of questions) × 100
Ratio = Number of correct questions / Total number of questions

Theorems

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Suitable Grade Level

Grades 4-6