To solve this problem using unit rates, we can determine how many quizzes Judith takes per week, and then use that rate to find out how many quizzes she'll have taken after 10 weeks.

Step 1: Find the unit rate of quizzes per week

Judith took 20 quizzes over the course of 5 weeks. To find how many quizzes she takes per week, divide the total number of quizzes by the number of weeks:

$\text{Quizzes per week} = \frac{20 \text{ quizzes}}{5 \text{ weeks}} = 4 \text{ quizzes per week}$

Step 2: Calculate the total number of quizzes after 10 weeks

Now that we know she takes 4 quizzes per week, we can find how many quizzes she will have taken after 10 weeks by multiplying the unit rate by the total number of weeks:

$\text{Total quizzes after 10 weeks} = 4 \text{ quizzes/week} \times 10 \text{ weeks} = 40 \text{ quizzes}$

Thus, after attending 10 weeks of school, Judith will have taken 40 quizzes in total.

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Related questions:

1. If Judith took 30 quizzes in 6 weeks, what is her rate of quizzes per week?
2. How many quizzes would she have taken in 15 weeks at the same rate of 4 quizzes per week?
3. If the rate of quizzes increased to 5 quizzes per week, how many quizzes would she take in 12 weeks?
4. How many total quizzes would Judith have taken if she attended 8 weeks of school at the rate of 4 quizzes per week?
5. What is the total number of quizzes she would have taken in 12 weeks if she took 3 quizzes per week?

Tip:

Unit rates are helpful when you need to find the rate of something over time and use it to calculate future values based on that rate.