Question

The mayor of Hawkins notices that there is a higher percentage of smokers in his city than in the surrounding cities. He makes a goal to reduce the percentage of smokers in Hawkins by 25%. If 46.7% of Hawkins residents currently smoke, what percent does the mayor hope to achieve?

Answer 1

Answer:12,48.7

Step-by-step explanation:

Answer 2

Answer:

The percentage the mayor hopes to achieve is 35.025%.

Step-by-step explanation:

You want to find out what percentage the mayor expects to reach to reduce the number of smokers by 25%.

For that, you must first assume that the Hawkins population is "x".

46.7% of Hawkins residents currently smoke. Then the percentage of smoker is:

46.7%*x

Remember that to convert a number into a percentage as a decimal you must divide the value by 100, you get:

$\frac{46.7}{100} *x=0.467*x$

As mentioned, the mayor wants to reduce the smoking population by 25%. Then this is expressed as follows:

25%*0.467*x

$\frac{25}{100} *0.467*x$

0.25*0.467*x

0.11675*x

Then the percentage of reduced smokers will be the total of the smoking population minus the 25% that is reduced. This expressed in decimals is:

0.467x-0.11675*x=(0.467-0.11675)*x=0.35025*x

Converting to percentage you get:

0.35025*100= 35.025%

Therefore, the percentage the mayor hopes to achieve is 35.025%.