Mario has to take medication for 180 days. The prescription says that he has to take it two days in a row, then skip one day he will repeat this pattern for 180 days. If he begins taking the medicine on a Monday, how many times will he take it on a Monday and then on Tuesday of the same week?

Question

Mario has to take medication for 180 days. The prescription says that he has to take it two days in a row, then skip one day he will repeat this pattern for 180 days. If he begins taking the medicine on a Monday, how many times will he take it on a Monday and then on Tuesday of the same week?

Vedantu Content Team · Accepted Answer

Hint: In this problem, we are given that Mario has to take medication for 180 days. The prescription says that he has to take it two days in a row, then skip one day he will repeat this pattern for 180 days. Here we have to find how many times he will take the medication on a Monday and then Tuesday on the same week. We can now calculate it for 2 weeks and then find the number of times it would be taken in 180 days.Complete step-by-step solution:We are given that Mario has to take medication for 180 days. The prescription says that he has to take it two days in a row, then skip one day he will repeat this pattern for 180 days.Here we have to find how many times he will take the medication on a Monday and then Tuesday on the same week.We can now write it in an order, in which Mario took medication.We know that he started his medication on Monday leaving one day after consecutive 2 days, then he would take on Monday, TuesdayThursday, FridaySunday, MondayWednesday, ThursdaySaturday, Sunday.Here we can see that, In two weeks he took medication only 1 time in consecutive Monday and Tuesday.Then we have to find 180 days, that is 25 weeks and 5 days.We know that, if in two weeks he takes medication one time for Monday and Tuesday, then for 24 weeks he will take 12 times and in the remaining 10 days he will be taking medication, one time.$$\Rightarrow 13$$times. Therefore, 13 times he will take the medication on a Monday and then Tuesday on the same week.   Note: We would make mistakes while counting the days as per the given conditions, as here they have said to leave a day after consecutive two days. We should also know to convert days into weeks to find the number of times he would take medication in a weekly time.