A survey of a random sample of registered voters shows that 42% of males and 64% of females plant to vote to re-elect a senator. Predict the overall percent of the votes that the senator will get, assuming that the ratio of males to females who vote in the election is 3 to 2. Explain how you get your answer.

Guest Mar 29, 2020

#1

#2**0 **

I unfortunately do not have a Chegg account with a paid subscription.

AnExtremelyLongName
Mar 29, 2020

#3**+1 **

**This is not the best way to solve, but it is the best way (in my opinion) to understand it.**

**Plan:**

For these problems, we can make it easier by PRETENDING that the total number of people is 1000.

**Solve:**

Since the ratio of males to females is 3 : 2. Let us calculate the exact number of males to females using the information we have in our plan.

3 + 2 = 5

5x = 1000

x = 200

20 * 3 = 600 males

20 * 2 = 400 females

42% of males = 0.42 * 600 = 252 males

64% of females = 0.64 * 400 = 256 females

Add them up 508 people who voted to re-elect the senator.

Out of the 1000 people, 508 of them did. So the overall percent is 508/1000 = 0.508, or 50.8%

AnExtremelyLongName Mar 29, 2020