Question

three parties, l, c, and k, are running for the election in a town of 8,000 residents. the results of a survey conducted by the local newspaper are shown in the circle graph below.
based on this information, which statement is true?
a. the expected difference in votes between the l party and the k party is 1,760.
b. 2,000 people are expected to vote the k party.
c. the c party expects to obtain 600 more votes than the k party.
d. 5,280 people are expected to vote the l party or the k party.

Explanation:

Step1: Calculate the number of votes for each party

• For party L: \(8000\times47\% = 8000\times0.47=3760\)
• For party K: \(8000\times19\%=8000\times0.19 = 1520\)
• For party C: \(8000\times25\%=8000\times0.25 = 2000\)

Step2: Analyze each option

• Option A:

The difference between L and K is \(3760 - 1520=2240
eq1760\)

• Option B:

\(8000\times19\% = 1520
eq2000\)

• Option C:

The difference between C and K is \(2000 - 1520 = 480
eq600\)

• Option D:

The sum of L and K is \(3760+1520 = 5280\)

Answer:

D. 5,280 people are expected to vote the L party or the K party.