(12 and 13) An apartment complex rents 1-bedroom, 2-bedroom, and 3-bedroom units, and charges $500, $700, and $850, respectively, per unit for monthly rent. One month, a total of 78 units were occupied, and the total revenue from rent was $52,500. If twice as many 2-bedroom units were occupied as 3-bedroom units, how many units of each type were occupied? 12) Let x represent the number of 1-bedroom units that were occupied, y represent the number of 2-bedroom units that were occupied, and z represent the number of 3-bedroom units that were occupied. Which 3 equations below form the system of equations that can be used to solve this problem? i) x+ y + z = 78 ii) 500x + 700y + 850z = 52500 iii) 2y – z = 0 iv) 1x + 2y + 3z = 78 V) у- 2z %3D0 vi) 500x + 700(2y) + 850(3z) = 52500 a) ii, iv, v b) i, iii, vi c) i, ii, v d) i, ii, i e) ii, iv, vi f) none of these 13) Find the number of 2-bedroom units that were occupied. a) 36 b) 15 c) 16 d) 30 e) 72 f) none of these

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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(12 and 13) An apartment complex rents 1-bedroom, 2-bedroom, and 3-bedroom units, and charges $500,
$700, and $850, respectively, per unit for monthly rent. One month, a total of 78 units were occupied, and the
total revenue from rent was $52,500. If twice as many 2-bedroom units were occupied as 3-bedroom units,
how many units of each type were occupied?
12) Let x represent the number of 1-bedroom units that were occupied, y represent the number of 2-bedroom
units that were occupied, and z represent the number of 3-bedroom units that were occupied. Which 3
equations below form the system of equations that can be used to solve this problem?
i) x+ y + z = 78
ii) 500x + 700y + 850z = 52500
iii) 2y – z = 0
iv) 1x + 2y + 3z = 78
V) у- 2z %3D0
vi) 500x + 700(2y) + 850(3z) = 52500
a) ii, iv, v
b) i, iii, vi
c) i, ii, v
d) i, ii, i
e) ii, iv, vi
f) none of these
13) Find the number of 2-bedroom units that were occupied.
a) 36
b) 15
c) 16
d) 30
e) 72
f) none of these
Transcribed Image Text:(12 and 13) An apartment complex rents 1-bedroom, 2-bedroom, and 3-bedroom units, and charges $500, $700, and $850, respectively, per unit for monthly rent. One month, a total of 78 units were occupied, and the total revenue from rent was $52,500. If twice as many 2-bedroom units were occupied as 3-bedroom units, how many units of each type were occupied? 12) Let x represent the number of 1-bedroom units that were occupied, y represent the number of 2-bedroom units that were occupied, and z represent the number of 3-bedroom units that were occupied. Which 3 equations below form the system of equations that can be used to solve this problem? i) x+ y + z = 78 ii) 500x + 700y + 850z = 52500 iii) 2y – z = 0 iv) 1x + 2y + 3z = 78 V) у- 2z %3D0 vi) 500x + 700(2y) + 850(3z) = 52500 a) ii, iv, v b) i, iii, vi c) i, ii, v d) i, ii, i e) ii, iv, vi f) none of these 13) Find the number of 2-bedroom units that were occupied. a) 36 b) 15 c) 16 d) 30 e) 72 f) none of these
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