Question

How many days are there in “x” weeks “x” days?
A. $7x^2$
B. 8x
C. 14
D. 7

Answer 1

Hint: We know that in a week there are seven days, and in a month we have four weeks and twelve month in a year, so as we solve for unit conversion in algebra in the same way here also we can solve according to the question given. For this question we have weeks and days and we have to answer for the total number of days.

Complete step-by-step answer:
The given question is to find the total number of days in “x” weeks and “x” days.
Here for the given question we know that there are seven days in a week, so for finding the solution for the given question we have to convert the week in days, then on adding the days given in the question and the days we obtained after solving for the week we will have our answer.
On solving we get:
\[
   \Rightarrow let\,total\,number\,of\,days = y \\
   \Rightarrow y = x\,weeks + x\,days \\
   \Rightarrow y = x \times 7days + x days = 7x\,days + \,x days = 8x\,days(week = 7days) \\
 \]
Here we got our answer which is “8x” days for the given question.

Note: The above question is just like a conversion question in which the given unit is in weeks and days and the answer is needed in days, for such a question we should know the conversion factor from one unit to another, as for this we have a conversion factor as seven. To get the assurance for the solution we can move backward also from answering the question.