Question

Christina took a total of 10 quizzes over the course of 5 weeks. How many weeks of school

will Christina have to attend this quarter before she will have taken a total of 18 quizzes?
Assume the relationship is directly proportional.
weeks
Submit
Work it out

Answer 1

9 weeks

Explanation:

If she took 10 quizzes over the span of 5 weeks, then she took 2 quizzes per week.

This is because:

10 quizzes ÷ 5 weeks = 2 quizzes

We can use this information to solve for 18 quizzes by setting up the equation the same way

If she takes 2 quizzes every week, and ends with 18 finished quizzes, how many total weeks did it take her ?

Variable x = total weeks

18 quizzes ÷ x weeks = 2 quizzes

With division, we can switch x weeks and 2 quizzes

18 quizzes ÷ 2 quizzes = x weeks

18 ÷ 2 = 9

9 weeks