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In a US presidential election of the 227 million eligible voters, 51.5 percent voted in the election. Let A and B be the number of people who voted for candidates Alpha and Beta, respectively.

How many people voted in the election?

Assume all voters voted for candidate Alpha or candidate Beta. Write an equation for A in terms of B

Candidate Alpha won the popular vote by 4.8 million votes. Write an equation for A in terms of B

Assuming b. and c., how many people voted for candidate Beta?

Assuming b. and c., how many people voted for candidate Alpha?

Respuesta :

Using a system of equations, it is found that:

  • 117 million people voted in the election.
  • The equation for A in terms of B is given by: A = 117 - B.
  • 61.1 million people voted for candidate B.
  • 65.9 million people voted for candidate A.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are A and B.

51.5% of 227 million eligible voters voted, hence, considering millions as the unit measure:

A + B = 0.515 x 227

A + B = 117.

The equation for A in terms of B is given by: A = 117 - B.

Candidate A won the popular vote by 4.8 million votes, hence:

A = B + 4.8.

B + 4.8 = 117 - B

2B = 112.2

B = 61.1.

A = 61.1 + 4.8 = 65.9.

Then:

  • 61.1 million people voted for candidate B.
  • 65.9 million people voted for candidate A.

More can be learned about a system of equations at https://brainly.com/question/24342899

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