At avery middle school, 273 students responded to a survey asking whether a bulldog, a lion, or a tiger should be a new school mascot. four times as many students chose tiger. twice as many students chose lion as chose tiger. how many students chose lion?
a) 39 students
b) 78 students
c) 156 students
d) 273 students

Answer with Step-by-step explanation:

273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be a new school mascot.

Let t students chose tiger

b students chose bulldog

and l students chose lion

then, t+b+l=273

Four times as many students chose Bulldog as chose Tiger.

i.e. b=4t

Twice as many students chose Lion as chose Tiger.

i.e. l=2t

So, t+4t+2t=273

i.e. 7t=273

Dividing both sides by 7, we get

t=39

Number of students who chose lion=2t

                                                           = 2×39

                                                           = 78

Hence, Correct option is:

B) 78 students

step-by-step explanation:

in which figure is point g a centroid