In a newspaper, it was reported that yearly robberies in Springfield were up 25% to 265 in 2013 from 2012. How many robberies were there in Springfield in 2012?

Respuesta :

Answer: There were 212 robberies in 2012.

Step-by-step explanation:

Since we have given that

Number of robberies in Springfield in 2013 = 265

Rate of growth in 2013 = 25%

We need to find the number of robberies there were in 2012.

Let the number of robberies in 2012 be x

so, According to question,

[tex]\frac{100+25}{100}\times x=265\\\\\frac{125}{100}\times x=265\\\\1.25\times x=265\\\\x=\frac{265}{1.25}\\\\x=212[/tex]

Hence, there were 212 robberies in 2012.

Answer:

234

Step-by-step explanation:(\text{\# robberies in }2012)(1+r)=\text{\# robberies in }2013

(# robberies in 2012)(1+r)=# robberies in 2013

x(1+0.5)=351

x(1+0.5)=351

x(1.5)=351

x(1.5)=351

\frac{x(1.5)}{1.5}=\frac{351}{1.5}

1.5

x(1.5) = 1.5  351

x=234

x=234

\text{There were 234 robberies in 2012}

There were 234 robberies in 2012