In a recent school board election, the two candidates for president received 2590 votes. The loser received 1302 fewer votes than the winner. How many votes did the winner receive?
x + y = 2590
x = y - 1320
Substitute y-1320 for the x in the first equation and this will give you y.
Next, find x.
912
To find out how many votes the winner received, we need to set up a mathematical equation based on the given information.
Let's assume the number of votes the winner received is 'x'. According to the question, the loser received 1302 fewer votes than the winner. So, the number of votes the loser received is 'x - 1302'.
We know that the total number of votes received by both candidates is 2590. Therefore, we can write the equation:
x + (x - 1302) = 2590
Now, let's solve the equation:
2x - 1302 = 2590
2x = 2590 + 1302
2x = 3892
x = 3892 / 2
x = 1946
So, the winner received 1946 votes.