Final answer:
The ratio of sixth-graders who visited the history museum to the total number of sixth-graders who went on a museum trip is 1:4, after calculating the total attendees and simplifying the fraction of history museum attendees to the total.
Step-by-step explanation:
Ratio of History Museum Visitors to Total Students
The question is asking for the ratio of the number of sixth-graders who visited the history museum relative to the total number of sixth-graders who went on either trip.
To find this ratio, we first determine the total number of students who went to either museum by adding the number who visited the science museum to the number who visited the history museum.
There were 33 students who picked the science museum and 11 who picked the history museum, which gives a total of 33 + 11 = 44 students.
Next, we express the number of students who visited the history museum as a fraction of the total number of students. This would be 11 (history museum) divided by 44 (total students), which gives us a fraction of 11/44.
To express this as a ratio, we simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor, which is 11 in this case.
Therefore, the simplified fraction is 1/4, which can also be written as a ratio of 1:4.
In conclusion, the ratio of the number of sixth-graders who visited the history museum to the total number of sixth-graders who went on a museum trip is 1:4.