Question

In a school election, 100 students submit ed a ballot voting for either Patrick or Britney. After counting all the votes, Britney received 56 more votes than Patrick. How many students voted for Patrick?

Answer 1

Patrick sold 22 ballots.

22+56=78

22+78=100

Answer 2

22 students

Explanation:

Create a system of equations where p is the number of students that voted for Patrick, and b is the number that voted for Britney

p + b = 100

b = p + 56

Solve by substitution by plugging in p + 56 as b in the first equation

p + b = 100

p + p + 56 = 100

Solve for p:

2p + 56 = 100

2p = 44

p = 22

So, 22 students voted for Patrick