Question

Last year, there were 720 crimes committed in the ninth precinct. these crimes involved theft, rape, and drugs in the ration of 4:2:3, how many crimes involved drugs? select one:

a. 80

b. 160

c. 240

d. 320

Answer 1

240*********is it true

Answer 2

Concept:

Ratio is the basic concept of Mathematics. It helps in finding out the contents of a mixture and other stuff when they are involved in total and individual value is not known.

Given:

Total no. crimes committed are

$720$

The ratio of crimes involving theft, rape and drugs is

$4 : 2: 3$

Find:

How many crimes involved drugs?

Solution:

Applying the concept of rations, Let the no. of crimes each be

$x$

therefore, we get the following expression,

$4x + 2x + 3x = 720 \\ 9x = 720 \\ x = \frac{720}{9} \\ x = 80$

Therefore the no. of crimes involving drugs is

$3x = 3 \times 80 = 240 \: crimes$

Hence, the no. of crimes involving drugs is

$240$

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