To set up a proportion, let's use x to represent the new total number of students we are looking for:
(Original number of students participating in art) / (Original total number of students) = (New number of students participating in art) / x
(75 students / 80 students) = (70 students / x)
Now we can set up the proportion and solve for x:
75 / 80 = 70 / x
Cross multiplying, we get:
75x = 5600
x = 5600 / 75
x = 64
Therefore, the total number of students the principal would have expected in order to keep the number of students who participated in art proportional to the total number of students surveyed is 64 students.
If the number of students who participated in art decreased by 5, how many total students would the principal have expected in order to keep the number of students who participated in art proportional to the total number of students surveyed?
Set up, solve, and explain a proportion.
46 students; because the new total number of students is now 46. The current total number of students is 80. There should be 34 fewer total students in the after-school activities to keep the number of students in the art activity proportional to the total number of students in the after-school activities.
69 students; because the new total number of students is now 69. The current total number of students is 80. There should be 21 fewer total students in the after-school activities to keep the number of students in the art activity proportional to the total number of students in the after-school activities.
64 students; because the new total number of students is now 64. The current total number of students is 80. There should be 16 fewer total students in the after-school activities to keep the number of students in the art activity proportional to the total number of students in the after-school activities.
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