Mirror, Mirror On The Floor

$3x+2x=12$

$5x=12$

$x=2.4$

$7.2:4.8$

Given: 12 mirrors

3:2 = 3+2 = 5

5 is not a multiple of 12

So, Answer = 3:2

3:2 is the ratio since 3+2=5, and 12/5 is not an integer.

Let's take their common multiple as x.

Since their are a dozen mirrors, the sum of the ratios multiplied by their common multiples should be 12.

Only

3x + 2x !=(is not equal to) 12, since x will come in decimals(which means the mirrors are broken which is impossible).

not a multiple of 12 is the answer

The sum of the ratio should be a factor or a multiple of 12 as there are 12 (a dozen) mirrors.... In the options 3:2 is the only ratio whose sum is 3+2=5, which is neither a multiple nor a factor of 12.

3+2=5 which is not a factor of 12 and thus 5 is the correct answer!!!!

check foe ur options !!

Ratio converted to nearest form`s sum must equal 12 to be having a solution..

7:5 is possible as it gives a dozen of mirrors = 7 +5 = 12 2:1 is possible as it gives a dozen of mirrors = {2 * 4} + {1 * 4} = 8 + 4 = 12 5:1 is possible as it gives a dozen of mirrors = {5*2} + {1 * 2} = 10 + 2 = 12 3:2 is not possible as it not gives a dozen of mirrors

Actually you don't have to do much, just add up both sides of the ratio and if it can divide 12, it can be the ratio of broken mirrors to unbroken mirrors because there are 12 mirrors

I got it!!!!!!

Dozen means 12, so just look for the number that don't match with 12 (can't divide 12).

So, the answer is $\boxed{3:2}$

3+2 =5 this is the only result that's NOT a factor of 12!

add them up and see if its a factor of 12

If 3:2 be the ratio then 3x:2x thus 3x+2x=12 and not have 5x=12, and not have x integer as solution... then the solution is 3:2.

I think it isn't an algebra question, its simply a Ratio, on solving another choices there comes whole number, but in 3:2 there comes fraction so u cant tell how many r broken ones. e.g 3+2=5, so 3/5x12=7.2 and 2/5x12=4.8. so its impossible to have 7.2 broken mirrors. . . Beware Don't break Someone's Heart, its about Mirrors only. . .

Sis very simple the ratio has to be able to multiply both sides with an integer 1 2 3 4 and tge total should be 12.