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Elena-2011 [213]
4 years ago
6

A restaurant has a total of 30 tables which are of two

Mathematics
1 answer:
ki77a [65]4 years ago
4 0

Answer:

Total number of tables of first type       = 23.

Total number of tables of second type = 7

Step-by-step explanation:

It is given that there are 30 tables in total and there are two types of tables.

Let's call the two seat tables, the first type as x and the second type as y.

∴                                             x + y = 30                        ......(1)

Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:

                                            2x + 5y = 81                        .....(2)

To solve (1) & (2) Multiply (1) by 2 and subtract, we get:

                                                      y = 7

Substituting y = 7 in (1), we get x = 23.

∴ The number of tables of first kind         = 23

  The number of tables of second kind   = 7

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Answer:

Second choice:

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Fifth choice:

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Step-by-step explanation:

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I'm going to subtract 1 on both sides for the first equation giving me x-1=t. I will replace the t in the second equation with this substitution from equation 1.

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Choice 4:

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Divide both sides by 2:

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Plug into equation 1:

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y=x^2+2x-3.

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