1. Homework Packet # 3

2. 4-Step Problem Solving Approach
Understand the problem
Identify the important information.
Is this problem similar to many others you have
solved?
Make a plan
Decide what strategy would be most appropriate
Carry out the plan
Do the work
Look Back
Is your answer reasonable? Is your computation correct?
Are your units appropriate?

3. A. Make a claim: Restate (in your own words) what you are being asked to figure out;
Evidence: List the important numbers (include what the number refers to - that means state 6 people NOT just the number 6);
Identify any missing information;
List any unnecessary numbers (like B above be specific);
E. Analysis: Indicate the units that the answer will be in (packages, dollars, boxes etc...)

4. Homework Sheet # 3
1. Five people are hired to work together on a project. As they are introduced, they shake hands with each other exactly one time. How many handshakes take place?
Let:
1 = 1st person
2 = 2nd person
3 = 3rd person
4 = 4th person
5 = 5th person
1 - 2
1 - 3
1 - 4
1 - 5
2 - 3
2 - 4
2 - 5
3 - 4
3 - 5
4 - 5
10 handshakes will take place at the work place

5. 2. A snail starts at the bottom of a well 10 feet deep and crawls up 3 feet each day. Each night the snail slips back 2 feet How long will it take the snail to reach the top of the well?
# of Days
# of feet climbed
Draw a picture or make a table using the information given. 1 2 3
0 + 3 – 2 = 1
1 + 3 – 2 = 2
2 + 3 – 2 = 3 4 5
3 + 3 – 2 = 4
4 + 3 – 2 = 5 6 7
5 + 3 – 2 = 6
It will take the snail 8 days to climb 10 feet and reach the top of the well.
6 + 3 – 2 = 7 8
7 + 3 = 10

6. 2 blocks north and 6 blocks west or 6 blocks west and 2 blocks north
A school bus travels 3 blocks east, 4 blocks north, 10 blocks west, 2 blocks
south, and 1 block east. At this point, the bus is how many blocks north or
south of its starting point? How many blocks east or west? N
W E S
2 blocks north and 6 blocks west or
6 blocks west and 2 blocks north
End
Start

7. Draw a picture or make a table.
4. An elevator in an office building started at ground level. It rose 5 floors, descended 2 floors, rose 9 floors, descended 3 floors, and rose 7 floors. Which floor is the elevator on? 16
Draw a picture or make a table. 12 -3 9 +7 5 -2 3 +9
The elevator is on the 16th floor. G

8. Sue is the President representative.
John, Sue, Lisa and Fernando are student council officers. The council has 4
officers: president, vice president, secretary, and treasurer. John is neither
president nor secretary. A boy holds the office of vice president. Sue is not
secretary. The names of the treasurer and the vice president have the same
number of letters. Who is the president?
President
Vice President
Secretary
Treasurer
John X O
Sue
Lisa
Fernando
Let:
X = no
O = yes
Sue is the President representative.

9. The number is 84. 6. Use the clues to find the mystery number.
- The number is between 0 and 150.
- If you start with 7 and keep counting by 7’s the number
will be on your list.
- The sum of the digits in the number is 12.
- The number can be divided evenly by 4
84 = = 12
84 ÷ 4 = yes
147 = = 12
147 ÷ 4 = no
The number is 84.

10. 7. A restaurant has two types of tables
7. A restaurant has two types of tables. One type seats two people and the other seats four. If 28 people are in the restaurant, how many full tables of each type can there be?
Make a table
# of large tables
(each seats 4)
# of small tables
(each seats 2)

11. Guess and check and use a table
8. Tickets to a musical cost $8 for students and $12 for all others. If $520 was earned by the sale of 49 tickets, how many student tickets were sold?
Guess and check and use a table
# of Student tickets at $8 each
Regular Price of Ticket at $12 each
Total price for tickets purchased in $520
1 = 8
48 = 576
= 584 NO
5 = 40
44 = 528
= 568 NO
10 = 80
39 = 468
= 548 NO
15 = 120
34 = 408
=528 NO
17 = 136
32 = 384
=520
YES
17 Student Tickets were sold.

12. Draw a picture 360 feet wide 360 feet wide
9. Walter wants to put a fence around a garden which is 360 feet long and 240 feet wide. If the fence he buys is sold in 12 sections, how many sections of fence will Walter need?
Draw a picture
360 feet wide
240 feet wide
240 feet wide
360 feet wide
360 ÷ 12 = 30 (2) = 60
= 100 sections will be needed
240 ÷ 12 = 20 (2) = 40

13. 10. A number is between 0 and 125, it can be divided evenly by 13, and the sum of the digits is Find the number.
78 is the number.

14. 11. Six teams compete in an academic challenge
11. Six teams compete in an academic challenge. In the first round every team plays one game against each of the other teams. The top three teams go on to the second round where every team plays against each of the other teams twice. In the third round, the top two teams from the second round play against each other twice. What is the least and the greatest number of games a team may play?
Let
A = team 1
B = team 2
C = team 3
D = team 4
E = team 5
F = team 6

15. AB BC CD DE EF AC BD CE DF AD BE CF AE BF AF Round 1
Randomly pick A, B C to be winners
Round 2
Round 3
Randomly pick A to be winner
Most games played are by Team A (the winning team) = 11 games
Least number of games are by either Teams D, E, or F = 5 games
Randomly pick A & B to be winners

16. End Homework Packet # 3 Extra Problem

17. For breakfast you can have one juice (orange or grapefruit), one cereal (oat, corn, or rice) and either whole or skim milk on your cereal. How many different breakfasts can be ordered that contain one choice from each category (juice, cereal, & milk)?
Cereal Juice Milk
Let Statement:
O = Oat
C = Corn
R = Rice
Or = Orange
G = Grapefruit
W = Whole Milk
S = Skim Milk O Or W S G W S W S C Or W S G W S R Or
There 12 different
breakfast combinations . G W S

18. 1 + + 2 + 3 + 4 5 + 6 21 swaps altogether
Tina invites six friends to a swap meet. Each girl, including Tina, swapped (exchanged) one item with girl. How many items did they swap altogether?
Let T = Tina
Let A – F = Each of Tina’s 6 friends
T – A
T – B
T – C
T – D
T – E
T – F
A – B
A – C
A – D
A – E
A – F
B – C
B – D
B – E
B – F
C – D
C – E
C – F
D – E
D – F
E - F 1 + + 2 + 3 + 4 5 + 6
21 swaps altogether