College Placement Test An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month,
Download ReportTranscript College Placement Test An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month,
College Placement Test
An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments?
A. 3 B. 4 C. 5 D. 6 E. 7
E. 7 Explanation: Let x stand for one bedroom apt Let y stand for a two bedroom apt Set a systems of equations:
x y
12
$
360
x $
450
y $
4
,
950
x
12
y
Solve for x Substitute for x in second equations 360
(
12
y )
450
y
4
,
950 Distribution Property 4320
360
y
4320
450
90
y y
4
,
4 950
,
950 Subtract 4320 from each side of the equation 90
y
630 Combine like terms
y
7 Divide each side of the equation by 90