You have 60 nickles, 48 dimes, and 42 quarters. you want to divide the coins into identical groups with no coins left over. what is thye greatest number of groups that you can make?

The greatest common divisor of the three numbers is

This means that we can divide all numbers by 6:

So, if each group has 10 nickles, 8 dimes and 7 quarters, you will form 6 groups.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.