Irma took a total of 27 quizzes over the course of 3 weeks. How many weeks of school will Irma have to attend this quarter before she will have taken a total of 45 quizzes? Solve using unit rates.
To solve this problem using unit rates, we can first find the rate at which Irma takes quizzes.
In 3 weeks, Irma took 27 quizzes.
So we can set up a ratio:
27 quizzes / 3 weeks = x quizzes / 1 week
To find the unit rate, we divide both sides of the equation by 3:
(27 quizzes / 3 weeks) / 3 = x quizzes / 1 week / 3
9 quizzes / 1 week = x quizzes / 1 week / 3
9 quizzes / 1 week = x quizzes / 1 week and cancel out units:
9 quizzes = x quizzes
So the unit rate at which Irma takes quizzes is 9 quizzes per week.
To find out how many weeks Irma will have to attend school before she has taken a total of 45 quizzes, we can set up the equation:
9 quizzes per week * x weeks = 45 quizzes
Simplifying:
9x = 45
Dividing both sides of the equation by 9:
x = 5
So Irma will have to attend school for 5 weeks before she will have taken a total of 45 quizzes.