QuestionHector took 20 quizzes in 2 weeks. How many quizzes will he have taken after 3 weeks? Use unit rates to solve.

Studdy Solution

STEP 1

Assumptions1. Hector took a total of20 quizzes over the course of weeks. . The rate of quizzes taken per week remains constant.
3. Hector has attended3 weeks of school this quarter.

STEP 2

First, we need to find the unit rate of quizzes taken per week. We can do this by dividing the total number of quizzes by the total number of weeks.
$Unit\, rate = Total\, quizzes / Total\, weeks$

STEP 3

Now, plug in the given values for the total quizzes and total weeks to calculate the unit rate.
$Unit\, rate =20\, quizzes /2\, weeks$

STEP 4

Calculate the unit rate.
$Unit\, rate =20\, quizzes /2\, weeks =10\, quizzes/week$

STEP 5

Now that we have the unit rate, we can find the total number of quizzes Hector will have taken after3 weeks. We do this by multiplying the unit rate by the number of weeks.
$Total\, quizzes = Unit\, rate \\times Number\, of\, weeks$

STEP 6

Plug in the values for the unit rate and the number of weeks to calculate the total quizzes.
$Total\, quizzes =10\, quizzes/week \\times3\, weeks$

STEP 7

Calculate the total number of quizzes Hector will have taken.
$Total\, quizzes =10\, quizzes/week \\times3\, weeks =30\, quizzes$ Hector will have taken30 quizzes after3 weeks of school.

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