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:
[tex]\frac{46.7}{100} *x=0.467*x[/tex]
As mentioned, the mayor wants to reduce the smoking population by 25%. Then this is expressed as follows:
25%*0.467*x
[tex]\frac{25}{100} *0.467*x[/tex]
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%.
