Internet Academy

Math

	Federal Way Public Schools

Solves Problems and Reasons Logically
Lesson 26

Construct Solutions and Verify

Objectives/Vocab/Tips > Examples 1 | 2 > Practice: 1 | 2 > Reflection

Practice 2:

You are in charge of setting up the cafeteria for an awards banquet. A total of 122 people will attend. The tables you are setting up seat either 8 or 10 people. No empty seats are allowed.

How many of each size table will you need to use to make sure everyone has a seat?
Find two ways you can set up your tables of 8 or 10 people.
Show how there can be more than one correct answer.

Look at the following three possible responses to this 4 point problem. Click on the score you would give the student response and then write why you would give the score you did. Remember the requirements for 4 point responses.

#1 Response

I found three ways this problem will work. There can be 4 tables for 8 and 9 tables for 10, 9 tables for 8 and 5 tables for 10, and then lastly 14 tables for 8 and 1 table for 10. I basically used guess and check to solve this problem and then did the math to see if it fit the clues in the question.

4x8 = 32
9x10 = 90
32+90 = 122 tables

9x8 = 72
5x10 = 50
72+50 = 122 tables

14x 8 = 112
1x10 = 10
112+10 = 122 tables

Because the three solutions work above and my adding and multiplication is correct, I know that this has to be correct!

Score #1 response:

Reason for score:

#2 Response

I think one way that this will work is to have 5 tables of 8 and then about 10 tables of 10. This way everyone should have a place to sit.

Score #2 response :

Reason for score:

# 3 Response

I would set up the cafeteria with 4 tables for 8 people and 9 tables for 10 people. I could also set up 9 tables for 8 people and then 5 tables for 10 people. This will take care of the 122 people.

Reason for score:

Click here to see the three possible correct answers to this problem.

Reflection >>