Read the information and answer the following questions.

The information is about the total males and females visits museum in three different days (Monday, Tuesday and Sunday). Total people visit all the three days is 135. Males visit on Sunday is 40% of females visit on Monday. Females visit on Sunday is 5 less than that on Monday. Males and females visit on Tuesday is 20 and 40 respectively. The ratio of people visit on Sunday and Tuesday is 1: 2.

Find the total females visit to the museum in all day?

The correct answer is 85.

Let's carefully extract all the given information and assign variables:

- Total visitors across all three days (Monday + Tuesday + Sunday) = 135
- Males on Tuesday = 20, Females on Tuesday = 40
- Ratio of visitors on Sunday : Tuesday = 1 : 2
- Males on Sunday = 40% of Females on Monday
- Females on Sunday = Females on Monday − 5

Step 1: Find the total visitors on Tuesday and Sunday.

Total visitors on Tuesday = Males on Tuesday + Females on Tuesday = 20 + 40 = 60

Since the ratio of Sunday visitors to Tuesday visitors is 1 : 2:

Sunday visitors / Tuesday visitors = 1 / 2
Sunday visitors = 60 × (1/2) = 30

Step 2: Find the total visitors on Monday.

Monday + Tuesday + Sunday = 135
Monday = 135 − 60 − 30 = 45

Step 3: Find the number of Females on Monday.

Let Females on Monday = F

From the given conditions:
- Males on Sunday = 40% of F = 0.4F
- Females on Sunday = F − 5

Total on Sunday = Males on Sunday + Females on Sunday:
0.4F + (F − 5) = 30
1.4F − 5 = 30
1.4F = 35
F = 35 / 1.4 = 25

So, Females on Monday = 25

Step 4: Find Females on Sunday.

Females on Sunday = F − 5 = 25 − 5 = 20

Step 5: Calculate total females across all three days.

Total Females = Females on Monday + Females on Tuesday + Females on Sunday
Total Females = 25 + 40 + 20 = 85

Verification:
- Males on Sunday = 0.4 × 25 = 10 ✓
- Total on Sunday = 10 + 20 = 30 ✓
- Total on Tuesday = 60 ✓
- Grand Total = 45 + 60 + 30 = 135 ✓

Therefore, the total number of females who visited the museum across all days = 85.