Medal & Fan

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? Do not enter comma for placeholder values.

Question

Medal & Fan

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? Do not enter comma for placeholder values.

steve816 · Answer

Hey there! Since y is the total number of votes cast, all you have to do is plug in 125,000 for y.

steve816 · Answer

Basically it would be
x - 62,500 = 0.25(125,000)
Then, solve for x!

nevillesnetwork · Answer

OH! Thanks so much!

nevillesnetwork · Answer

Can I try to solve this and then you check it? @steve816

steve816 · Answer

No problem! And sure, I'll check your answer.

nevillesnetwork · Answer

Yay! Ok, give me a moment.

nevillesnetwork · Answer

x-62,500 = 31250
x-62,500 -31250 = 31250-31250

I got x - 31250   but I don't think thats correct... I missed something, or did I not? @steve816

nevillesnetwork · Answer

@steve816  Plz check this, I only have a few minutes... :O

steve816 · Answer

x - 62,500 = 0.25(125,000)
x - 62,500 = 31250

Now from here, you have to add 62,500 to both sides.

x = 93750