The incoming 7th grade class has 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 student? Round to the nearest whole number.
A. 213 students can take Spanish
B. 283 students can take Spanish
C. 425 students can take Spanish
D. 638 students can take Spanish
The ratio of Spanish classes to French classes is 3:1, which means for every 3 Spanish classes, there is 1 French class. Let's assume the number of French classes is x.
Since there are 3 times as many Spanish classes as French classes, the number of Spanish classes is 3x.
The total number of language classes can be expressed as:
x + 3x = 4x
Since there are 4x language classes and each class has 25 students (850 students / 34 classes), the total number of students who can choose Spanish is 4x * 25.
We can now solve for x:
4x * 25 = 850
100x = 850
x = 8.5
Since the number of classes cannot be a decimal, we can round down to the nearest whole number. Therefore, x = 8.
The number of Spanish classes is 3 times the number of French classes, which is 3 * 8 = 24.
Therefore, the total number of students who can choose Spanish is 24 * 25 = 600.
Rounded to the nearest whole number, the answer is 600. Therefore, the correct option is D.