Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In a newspaper, it was reported that yearly robberies in Springfield were down 
50% to 35 in 2011 from 2010. How many robberies were there in Springfield in 2010?
Answer:

In a newspaper, it was reported that yearly robberies in Springfield were down 50% 50 \% to 3535 in 20112011 from 20102010. How many robberies were there in Springfield in 20102010?\newlineAnswer:

Full solution

Q. In a newspaper, it was reported that yearly robberies in Springfield were down 50% 50 \% to 3535 in 20112011 from 20102010. How many robberies were there in Springfield in 20102010?\newlineAnswer:
  1. Understand Problem: Understand the problem and identify the given information.\newlineWe know that the number of robberies in Springfield in 20112011 was 3535, which is 50%50\% less than the number of robberies in 20102010. We need to find the number of robberies in 20102010.
  2. Set Up Equation: Set up the equation to find the number of robberies in 20102010.\newlineLet the number of robberies in 20102010 be xx. According to the problem, the number of robberies in 20112011 is 50%50\% less than that in 20102010. This means that the number of robberies in 20112011 is 50%50\% of xx, which is equal to 3535.\newlineSo, we have the equation: 0.5×x=350.5 \times x = 35
  3. Solve Equation: Solve the equation for xx to find the number of robberies in 20102010.\newlineDivide both sides of the equation by 0.50.5 to isolate xx:\newlinex=350.5x = \frac{35}{0.5}\newlinex=70x = 70
  4. Verify Solution: Verify the solution.\newlineIf there were 7070 robberies in 20102010, then a 50%50\% reduction would indeed result in 3535 robberies in 20112011, because 70×0.5=3570 \times 0.5 = 35. This confirms that our solution is correct.

More problems from Percent of change: word problems