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8 August, 18:11

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

at each table; the second type seats five people at e

seated when all seats are occupied. How many tables a

types. The first type seats two people

table. A total of 81 people are

any tables are there?

+4
Answers (1)
  1. 8 August, 21:22
    0
    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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