Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive?
Substitute 125,000 for y and solve for x.
maya 750000.00
To find out how many votes Maya received, we need to solve the equation x - 62,500 = 0.25y, where y is the total number of votes cast and x is the number of votes Maya received.
We are given that a total of 125,000 people voted, so we can substitute y with 125,000 in the equation:
x - 62,500 = 0.25(125,000)
Now we can simplify the equation:
x - 62,500 = 31,250
To isolate x, we can add 62,500 to both sides of the equation:
x = 31,250 + 62,500
x = 93,750
Therefore, Maya received 93,750 votes.