Problem

Of the 22 students in Mr. Jackson's class, 14 live in apartments, and the rest live in houses. A total of 9 students have their mail delivered to their door, and the rest have mail delivered to a mailbox. Of those students who have mail delivered to their door, 5 live in houses. Which two-way table represents the students in Mr. Jackson's class? Students in Mr. Jackson's Class Students in Mr. Jackson's Class

Solution

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Text explanation

To create a two-way table based on the given information for Mr. Jackson's class, we first outline the categories and then fill in the known numbers.

  1. Living Situation: Apartments, Houses
  2. Mail Delivery: To Door, To Mailbox

Given Information: 1. Total students = 22 2. Students living in apartments = 14 3. Students living in houses = 22 - 14 = 8 4. Students with mail delivered to door = 9 5. Students with mail delivered to mailbox = 22 - 9 = 13 6. Students living in houses AND have mail delivered to door = 5

Answer:

Completed Table:

Step by Step Solution:

We can find the remaining numbers by deduction.

Creating the Table: Filling in Missing Numbers:

  1. To find the number of apartment students having mail delivered to the door: Since there are 9 students in total receiving mail to the door and 5 of them live in houses, the rest must be living in apartments. Thus, 9 - 5 = 4 apartment students have mail delivered to their door.

  2. To find the number of apartment students having mail delivered to the mailbox: Since there are 14 students living in apartments and 4 of them have mail delivered to their door, so 14 - 4 = 10 students living in apartments must have mail delivered to the mailbox.

  3. To find the number of house students having mail delivered to the mailbox: Since there are 8 students living in houses and 5 of them have mail delivered to their door, so 8 - 5 = 3 students living in houses must have mail delivered to the mailbox.

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