The ratio of the loudness of Lana’s earphones to the loudness of Polina’s earphones to the loudness of Goffy’s earphones is 6:5:3. If Polina’s earphones have a loudness of 420 decibels, find the total loudness of all three earphones.

1,176

1,176 decibels. You do 420/5 because Polina's earphones are the 5 in the ratio 6:5:3 and you get 84. Multiply the other 2 numbers in the ratio by 84 and you get 504+420+252 which is 1,176 decibels

I got......

1,176!!

Let:

Lala be l
Polina be P
Goffy be G
the respective ratio is 6:5:3
Given that Polina's loudness is 420 decibels then the total loudness will be calculated as follows:
Total ratio=6+5+3=14
hence total loudness will be:
14/5×420
=1,176 decibels

1,176!

420/5 = 84

so, multiply all the values by 84 and you have

504:420:252

Now just add all that up.

To find the total loudness of all three earphones, we need to determine the loudness of Lana's and Goffy's earphones.

Given that the ratio of Lana's earphones to Polina's earphones to Goffy's earphones is 6:5:3, we can set up the following proportions:

Lana's loudness / Polina's loudness = 6 / 5
Goffy's loudness / Polina's loudness = 3 / 5

To find Lana's loudness, we can solve for it using the proportion:

Lana's loudness = (Polina's loudness * 6) / 5

Substituting the given value of Polina's loudness as 420 decibels:

Lana's loudness = (420 * 6) / 5 = 504 decibels

Now that we know Lana's loudness is 504 decibels, we can find the total loudness of all three earphones:

Total loudness = Lana's loudness + Polina's loudness + Goffy's loudness
= 504 decibels + 420 decibels + 3 * 420 decibels
= 504 decibels + 420 decibels + 1260 decibels
= 2184 decibels

Therefore, the total loudness of all three earphones is 2184 decibels.