Janet took a total of 10 quizzes over the course of 2 weeks. After attending 4 weeks of school this quarter, how many quizzes will Janet have taken in total? Solve using unit rates.
Janet took 10 quizzes in 2 weeks, so her rate of taking quizzes is 10 quizzes / 2 weeks = <<10/2=5>>5 quizzes per week.
Janet has attended 4 weeks of school this quarter, so she will have taken a total of 5 quizzes/week * 4 weeks = <<5*4=20>>20 quizzes. Answer: \boxed{20}.
step by step
1. Start with the given information: Janet took 10 quizzes over the course of 2 weeks.
2. Calculate the rate of taking quizzes: 10 quizzes / 2 weeks = 5 quizzes per week.
3. Determine the number of quizzes Janet will have taken after 4 weeks by multiplying the rate by the number of weeks: 5 quizzes/week * 4 weeks = 20 quizzes.
4. Therefore, Janet will have taken a total of 20 quizzes after attending school for 4 weeks.
To solve this problem using unit rates, we need to find Janet's average rate of quizzes per week and then multiply it by the number of weeks in 4 weeks.
First, let's find Janet's average rate of quizzes per week. We know that she took a total of 10 quizzes over 2 weeks. To find the average rate per week, divide the total number of quizzes by the total number of weeks:
10 quizzes ÷ 2 weeks = 5 quizzes per week
So, Janet's average rate of quizzes per week is 5 quizzes.
Now, we need to find out how many quizzes Janet will have taken in a total of 4 weeks. Since we know her average rate per week is 5 quizzes, we can multiply this rate by 4 weeks:
5 quizzes per week × 4 weeks = 20 quizzes
Therefore, Janet will have taken a total of 20 quizzes in 4 weeks.