Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
174
© 2014 Pacific Crest
P
lan
How to complete the activity
1. Review the scenarios in Experience 4.1.
2. Review the Model available below.
3. Solve the Problem by applying the steps in the Problem Solving Methodology.
4. Answer the Critical Thinking Questions.
5. Complete the remainder of this activity (from Demonstrate Your Understanding through Assessing
Your Performance) on your own, or as directed by your instructor.
M
odel(s)
Exemplars and representations
C
hoosing
R
ooms
and
A
ssigning
R
ent
Scenario:
Three students are going to share a two
‑
bedroom apartment for the school year.
The rent is $700 per month, and the size of the apartment is 1,720 square feet. The
students need to figure out an equitable way to choose rooms and then assign rent
for each person.
Problem statement
:
Determine who gets which bedroom and how much each should pay toward the total rent of $700.
Key issues
:
The following are issues that should be considered:
●
Does each student need or want his own room?
●
Can another roombe converted to a bedroom?
●
Are some rooms worth more than others?
●
What characteristics should be used to place
a value on each room?
●
What is the value of a private room?
●
What is the value of the common area (the
non
‑
bedroom space)?
●
How much rent can each student afford?
●
Do two people want to share a room?
●
How should the order for choosing rooms be
decided?
Information
:
Summarize
the information that is known.
The two bedrooms are 270 ft
2
and 360 ft
2
.
The total area of
the apartment is
1,720 ft
2
(40 ft × 43 ft).
common area
1,090 ft
2
large bedroom
360 ft
2
small bedroom
270 ft
2
total house area 1,720 ft
2
The monthly rent is $700.
Bedroom 1
Bedroom 2
Living Room
Kitchen
Bath
15 ft.
20 ft.
43 ft.
40 ft.
18 ft.