Question

Write an inequality that models the following situation.

Beatriz is in charge of setting up a banquet hall. She has 5 tables which could fit 6 people. If no more than 62 people can attend, how many tables seating 4 people will she need?

Answer 1

5 tables of 6 people means 30 people can be seated. There are 32 people left over, which means that she will need 8 tables seating 4 people.

Answer 2

but how do i write that in inequality form?

Answer 3

You don't know for sure that you want to use 5 tables of 6...

Answer 4

no more than 62 people can attend... that is the inequality... the number of people attending must be less than or equal to 62

Answer 5

The trick, then, is to figure out an expression for the number of people who can attend based on the types of tables

Answer 6

Wait, hold on... I'm messing this up

Answer 7

The number of people who attend is 62.

The inequality is that you can use less than or equal to 5 tables that seat 6

Answer 8

4x + 30 less than or equal to 62

Because there are 4 people per x number of table. We don't know how many. Plus there is the additional 30 people from the 5 tables (5 x 6). This number must be less than or equal to a total of 62 people.

Answer 9

I don't know if she has to use all 5 of the 6-person tables...

Answer 10

But I guess that works...

The inequality would say, assuming that she uses 5 tables seating 6 each, and that 62 people attend,

4x + 30 <= 62 where x is the number of 4 person tables

Then you could solve for x in the inequality.

Answer 11

thnx y'all