he incoming 7th grade class has a choice of FRENCH or SPANISH as a language elective. There are 3 times as many Spanish classes as French classes (or 3 to 1). How many students can choose Spanish if there are 850 students? Round to the nearest whole number.(1 point)Responses
If there are 3 times as many Spanish classes as French classes, then the ratio of Spanish classes to French classes is 3:1.
Let's represent the number of French classes as x.
So the number of Spanish classes would be 3x.
The total number of classes would be x + 3x = 4x.
Since there are 850 students, the number of students in each class would be 850 / 4x = 212.5 / x.
Since the number of students must be a whole number, x must be a factor of 212.5.
The factors of 212.5 are 1, 2, 5, 10, 25, 50, and 212.5.
However, since we are told that there are 3 times as many Spanish classes as French classes, the number of French classes cannot be greater than the number of Spanish classes.
Therefore, the only possible values for x are 2 and 1.
If there are 2 French classes, then there are 3 * 2 = <<3*2=6>>6 Spanish classes.
So the number of students choosing Spanish would be 6 * 212.5 = 1275 (rounded to the nearest whole number).
If there is 1 French class, then there are 3 * 1 = 3 Spanish classes.
So the number of students choosing Spanish would be 3 * 212.5 = 637.5 (rounded to the nearest whole number).
Therefore, the answer is 1275 (rounded to the nearest whole number).