Question

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.

Answer 1

To find the total loudness of all three earphones, set up a proportion using the given ratio. Solve the proportion to find the loudness of Lana's earphones. Add up the loudness of all three earphones to find the total loudness.

Step-by-step explanation:

To find the total loudness of all three earphones, we first need to find the loudness of Lana's earphones and Goffy's earphones. Since the ratio of loudness is given as 6:5:3, we can set up the following proportion:

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

Let's assume that Lana's earphones have a loudness of L decibels. Using the proportion, we can find that Polina's earphones have a loudness of 420 decibels.

L / 420 = 6 / 5

Cross-multiplying, we get 5L = 2520. Solving for L, we find that Lana's earphones have a loudness of 504 decibels.

Finally, we can add up the loudness of all three earphones: 504 + 420 + 252 = 1176 decibels.

Answer 2

Total loudness of earphones will be 11176 decibels

Step-by-step explanation:

We have given the ratio of loudness of earphones of Lana's , Polina's and Goffy's are 6:5:3

Let the loudness is multiple of x

So ratio will become 6x:5x:3x

So total = 6x+5x+3x = 14x

As it is given Polina's earphone loudness is 420 decibels

So
`5x=420`

x = 84 decibels

So total loudness of earphones will be = 14×84 = 1176 decibels