Question

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors in a month of 30 days starting with Sunday is (1) 280 (2) 285 3 290 (4) 295​

Answer 1

Step-by-step explanation:

If a month starts with Sunday, then the number of Sundays in that month is 5

The remaining days is 30−5=25

Given that average number of visitors on Sundays is 510

Therefore, 510=

5

sum of the number of visitors on Sundays

⟹sum of the number of visitors on Sundays=510×5=2550 -----(1)

Given that average number of visitors on other days is 240

Therefore, 240=

25

sum of the number of visitors on other days

⟹sum of the number of visitors on other days=240×25=6000 -----(2)

Total average is

30

total number of visitors

=

30

2550+6000

=

30

8550

=285

Therefore, the average number of visitors per day in a month of 30 days beginning with a Sunday is 285

Answer 2

Answer:

1) 280 is the correct option.

Step-by-step explanation:

In a month starting with Sunday and having 30 days, the total number of days will be (7×4)+2

.

Here, there will be 4

complete weeks and two extra days. Out of the two days, one day will be Sunday as the month is starting with Sunday, so at the end of fourth week of the month, it will be Saturday, this means that the next two days will be Sunday and Monday.

Now we have the exact number of Sundays and other days, that is 5

Sundays and 25

other days.

Now, using this we can find the total number of visitors on Sunday and on other days.

As the average visitors on Sunday are 510

, then the total number of visitors in 5

will be 5×510=2550

. Thus the total number of visitors only on Sunday in a month will be 2550

.

Now the average visitors on any other day is 240

, so the total number of visitors on 25

other days except Sunday will be 25×240=6000

. So the total number of visitors on any other day except Sunday in one month will be 6000

.

Now we will add both the number of visitors to get the total number of visitors in this month.

The total number of visitors in this month will be 2550+6000=8550

visitors.

Now, we can easily find the average visitors per day in this month by dividing the total visitors in the month by the total number of days in this month.

Thus, the average number of visitors per day is 855030=285

visitors per day.

Hence, option (1) is the correct option.

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