Bunuel
At Bridgewood High School, freshmen, sophomores, juniors, and seniors are in the ratio of 3:4:6:7, respectively. Which of the following CANNOT be the total number of students at the school?
A 40
B 80
C 90
D 100
E 140
GIVEN: freshmen : sophomores : juniors : seniors = 3:4:6:7There are infinitely-many cases that satisfy the above ratio.
For example, the school could have
3 freshmen,
4 sophomores,
6 juniors and
7 seniors for a TOTAL of
20 students
Or the school could have
6 freshmen,
8 sophomores,
12 juniors and
14 seniors for a TOTAL of
40 students
Or the school could have
9 freshmen,
12 sophomores,
18 juniors and
21 seniors for a TOTAL of
60 students
Or the school could have
12 freshmen,
16 sophomores,
24 juniors and
28 seniors for a TOTAL of
80 students
.
.
.
etc
As you can see, the TOTAL number of students is is always a multiple of
20Check the answer choices....only answer choice C (90) is NOT a multiple of
20Answer: C
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