27 students in a class had one vote for a class captain. They voted for Ben, Erin and Tim. Ben got 3 more votes than Erin. Ben got 6 more votes than Tim. How many votes did Ben get ?

Respuesta :

Answer: Ben received 12 votes.

Explanation:

B=E+3 (Ben got 3 more votes than Erin).

B=T+6 (Ben got 6 more votes than Tim).

B+E+T=27 (Total number of students is 27).

E = B-3

T = B-6

Plug in E and T to the equation B+E+T=27

B+B-3+B-6=27

3B=36

B=12

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