During one election in Springtown, 7 of every 9 people who voted favored remodeling the city swimming pool. Springtown has 36,000 eligible voters.

Question

During one election in Springtown, 7 of every 9 people who voted favored remodeling the city swimming pool. Springtown has 36,000 eligible voters. In this election 5 of every 8 eligible voters actually voted. How many people voted for remodeling the city swimming pool?

Answer 1

Your total population is 36,000. 5 our of 8 (5/8) of people actually voted.

 

To find out how many voted, multiply (5/8) * 36000 = (5*36000)/8 = 22500 people voted

 

Now, it also says that 7 out of 9 (7/9) people who voted were in favor of remodeling.

 

To find out how many voters were in favor of remodeling, multiply (7/9) * 22500 = (7 * 22500)/9 = 17500 people

 

Thus, 17500 people voted for remodeling the city swimming pool.

 

Note: Another way to solve this would have been to combine these steps and say:

(5/8)*(7/9)*(36000) = (5 * 7 * 36000)/(8 * 9) = 17500