Problema Solution
42 Students vote on mascot gorilla received 8 votes the python received 3 times as many as giraffe and crocodile received 2 more the gorilla how many votes did each animal receive?
Answer provided by our tutors
let
g1 = the number of votes the gorilla received
p = the number of votes the python received
g2 = the number of votes the giraffe received
c = the number of votes the crocodile received
42 Students vote on mascot:
g1 + p + g2 + c = 42
gorilla received 8 votes:
g1 = 8 votes
the python received 3 times as many as giraffe:
p = 3g2
crocodile received 2 more than the gorilla:
c = 2 + g1
c = 2 + 8
c = 10 votes
by solving the system of equations:
8 + p + g2 + 10 = 42
p = 3g2
we find:
p = 18 votes
g2 = 6 votes
click here to see the step by step solution of the system of equations:
the gorilla received 8 votes.
the python received 18 votes.
the giraffe received 6 votes.
the crocodile received 10 votes.