julia took a 20-item math test. if she got 14 out of 20 items correctly, what is her grade in perfect? if she got 85% in the test, how many times did the she got wrong? with solution

Let's solve this step by step:

### Part 1: Calculating Julia's Grade in Percent
Julia answered 14 out of 20 items correctly. To find her grade in percent, we use the formula:

\[
\text{Grade (\%)} = \left(\frac{\text{Number of Correct Answers}}{\text{Total Number of Questions}}\right) \times 100
\]

Substituting the values:

\[
\text{Grade (\%)} = \left(\frac{14}{20}\right) \times 100 = 70\%
\]

So, Julia's grade is **70%**.

### Part 2: Finding the Number of Wrong Answers if She Got 85%
If Julia got 85% in the test, we can use the percent to find out how many items she got right and then subtract that number from the total to find how many she got wrong.

1. Let \(x\) be the number of correct answers if her score was 85%.

Using the percentage formula:

\[
\text{Correct Answers} = \frac{\text{Percent Score}}{100} \times \text{Total Number of Questions}
\]

Substituting the values:

\[
x = \frac{85}{100} \times 20 = 17
\]

So, she got 17 items correct.

2. To find the number of wrong answers:

\[
\text{Wrong Answers} = \text{Total Number of Questions} - \text{Correct Answers} = 20 - 17 = 3
\]

Therefore, if Julia got 85% on the test, she got **3 items wrong**.

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Do you want more details or have any questions?

Here are some related questions:

1. If Julia had answered 18 items correctly, what would her grade be in percent?
2. How many items did she need to answer correctly to achieve a score of 90%?
3. If Julia's goal was to score at least 75%, how many items did she need to answer correctly?
4. What percentage would Julia get if she answered 10 items correctly?
5. If Julia's grade increased by 10%, how many additional items did she need to answer correctly?

**Tip:** Always double-check your calculations, especially when converting between percentages and actual counts!

julia took a 20-item math test. if she got 14 out of 20 items correctly, what is her grade in perfect? if she got 85% in the test, how many times did she got wrong?

Learn how to calculate a student's grade percentage and the number of wrong answers in a 20-item math test. This step-by-step solution explains how to find a 70% score with 14 correct answers and how to determine the wrong answers for an 85% score. Suitable for students in Grades 5-7.

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