In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 108 in 2013 from 2012. How many robberies were there in Springfield in 2012?Answer:
Q. In a newspaper, it was reported that yearly robberies in Springfield were down 25% to 108 in 2013 from 2012. How many robberies were there in Springfield in 2012?Answer:
Identify Given Information: Let's identify the given information and what we need to find. We know that the number of robberies in 2013 was 108, which is 25% less than the number of robberies in 2012. We need to find the original number of robberies in 2012 before the decrease.
Calculate Percentage Decrease: To find the number of robberies in 2012, we need to understand that a 25% decrease means that the number of robberies in 2013 is 75% of the number of robberies in 2012. Let's represent the number of robberies in 2012 as 'R'.
Set Up Equation: We can set up the equation: 75% of R=108. To solve for R, we need to convert the percentage to a decimal. So, 75% becomes 0.75. The equation is now: 0.75×R=108.
Solve for R: To find R, we divide both sides of the equation by 0.75. So, R=0.75108.
Final Result: Performing the division, we get R=144. This means there were 144 robberies in Springfield in 2012.
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