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


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the gorilla received 8 votes.


the python received 18 votes.


the giraffe received 6 votes.


the crocodile received 10 votes.