Question

Sydnie has an online biology quiz due every 4 days and an online math quiz 3 days. If both quizzes are due onDue on December 7, when is the next day both quizzes will be due again?DECEMBER 2020STMO20RNNA. December 11B. December 18C. December 19D. December 25tes

Answer 1

In order to find the next day that the quizzes will be due again, we first need to find the least common multiple (LCM) of the numbers 4 and 3.

To do so, we first need to factorate each number:

`\begin{gathered} 4\to2\cdot2 \\ 3\to3 \end{gathered}`

Then, we multiply each factor the maximum number of times they appear. In this case, we need to multiply 2 two times and 3 one time:

`2\cdot2\cdot3=12`

So the LCM is 12. Now, we just need to add 12 days to the last due date, which was 7 December. Adding 12 days, the next due date will be 19 December.

So the answer is C.