Mario has to take a 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 the 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?
Answers
It is given that the Mario has to take medication for 180 days.
The prescription says that he has to take it two days in a row and then skip one day.
He would repeat this pattern for the 180 days.
We need to find how many times will he take the medication on a monday and then tuesday of the same week.
He starts the medication on monday.
Let us find the day on which the medication would end.
⇒ 180 mod 7
⇒ 5
He would finish the medication on (5 days after Monday) which is Saturday.
Monday ➞ 1
Tuesday ➞ 2
Wednesday ➞ 3
Thursday ➞ 4
Friday ➞ 5
Saturday ➞ 6
Sunday ➞ 7
We need to find when would he start again on Monday.
Medication taken:
- (1,2)
- (4,5)
- (7,1)
- (3,4)
- (6,7)
We find that, Meena starts again on Monday after 2 weeks.
So, In two week, He take medication on Monday-Tuesday only one time.
Also, There are 25 weeks and 5 days in 180days if started on monday.
So, Let us find when would 25 week end after Monday. We find that It would exactly end on Monday. So we exclude this week.
So, There are 24 weeks, But In 2 weeks, He takes medication only one time.
In 24 weeks, He would take on Monday-Tuesday 12 times.
Moreover, He would take one time more after the 25th week.
So, Total times he take medication on Monday-Tuesday is 13 times.
Answer:
13 times he will carry the medication on a Monday and then Tuesday on the identical week.
Step-by-step explanation:
It is provided that Mario holds to take medication for 180 days. The prescription states that he has to take it two days in a row, then skip one day he will repeat this pattern for 180 days.
To find how many times he will bring the medication on a Monday and then Tuesday on the same week.
We can now write it in the order, in which Mario brought medication.
We know that he began his medication on Monday leaving one day after consecutive 2 days, then he would take on,
- Monday, Tuesday
- Thursday, Friday
- Sunday, Monday
- Wednesday, Thursday
- Saturday, Sunday.
Here we can witness that In two weeks he brought medication only 1 time on a consecutive Monday and Tuesday.
Then we have to discover 180 days, that is 25 weeks and 5 days.
We know that, if in two weeks he brings medication one time on Monday and Tuesday, then for 24 weeks he will take it 12 times and in the remaining 10 days he will be taking medication, one time.
Therefore, 13 times he will carry the medication on a Monday and then Tuesday on the identical week.
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