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2 years ago

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

Mathematics

1 answer:

Anna007 [38]2 years ago

3 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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From the complete questions, the profit functions are calculated as follows:

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<u>Material 2</u>

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<u>Material 3</u>

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