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Komok [63]
3 years ago
7

The number of boys varies directly as the number of girls and inversely as the number of teachers. When there are 24 boys and 16

girls, there are 2 teachers. How many girls are there when there are 72 boys and 1 teacher?
Mathematics
1 answer:
lidiya [134]3 years ago
3 0
SO from what I did was...

Since 24 x 3 = 72 , I did the same to 16. 

16 x 3 = 48 

But because instead of their being 3 teachers there is 1... What I did is just was to divide 48 / 2 which gave me the answer of 24... 

So what I think the answer is... 

There are 72 boys, 24 girls, and 1 teacher... 

Unless I am just dumb and it would be 48 girls, but I think I did it right. 

I hope I was able to help out.
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Please help me if you can. Please also write how you got the answer thank you.
vaieri [72.5K]

Answer:

The three numbers are 341, 342, and 343

Step-by-step explanation:

We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 1026

To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:

X + X + 1 + X + 2 = 1026

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3X/3 = 1023/3

X = 341

Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.

341 + 342 + 343 = 1026

We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.

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