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stira [4]
3 years ago
15

If 1/a, 1/b, 1/c are in Arithmetic Progress, show that 2ac/a+c.​

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0
  1. 1/b-1/a = 1/c-1/b [ since they are in arithmetic progress]
  2. 1/b+1/b = 1/c+1/a
  3. 2/b = (a+c)/ac
  4. 2ac = b(a+c)
  5. 2ac/(a+c) =b

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solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

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Let's add the equations together

0 + 4y = 668

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Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

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Answer:

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