Read the following information carefully and answer the question that follows.

The information presents the attendance of adults and students at a science center over three days (Friday, Saturday, and Sunday). A total of 200 visitors attended the center across all three days. The number of adults who visited on Sunday is 60% of the number of students who visited on Friday. The number of students who visited on Sunday is 10 fewer than the number of students who visited on Friday. On Saturday, 40 adults and 50 students visited the center. The ratio of the total visitors on Sunday to Saturday is 3 : 5.

What is the ratio of the total number of visitors who attended the science center on Sunday to Friday?

The correct answer is 27 : 28.

Step 1: Calculate the total number of visitors on Saturday.

From the given information, on Saturday:

Number of adults = 40
Number of students = 50

$\text{Total visitors on Saturday}=40+50=90$

Step 2: Calculate the total number of visitors on Sunday.

The ratio of total visitors on Sunday to Saturday is given as 3 : 5.

$\frac{\text{Total visitors on Sunday}}{\text{Total visitors on Saturday}}=\frac{3}{5}$

$\text{Total visitors on Sunday}=90\times \frac{3}{5}=54$

Step 3: Calculate the total number of visitors on Friday.

The total number of visitors across all three days (Friday, Saturday, and Sunday) is 200.

$\text{Total visitors on Friday}+\text{Total visitors on Saturday}+\text{Total visitors on Sunday}=200$

$\text{Total visitors on Friday}+90+54=200$

$\text{Total visitors on Friday}+144=200$

$\text{Total visitors on Friday}=200-144=56$

Step 4: Find the ratio of total visitors on Sunday to Friday.

$\text{Ratio}=\text{Total visitors on Sunday}:\text{Total visitors on Friday}$

$\text{Ratio}=54:56$

Simplifying the ratio by dividing both numbers by 2:

$\text{Ratio}=27:28$

Thus, the ratio of the total number of visitors who attended the science center on Sunday to Friday is 27 : 28.