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Question 1205114: A company is repaving their parking lot and trying to decide how many parking
spaces they can make when painting the new lines. The lot has a maximum area
of 4600 square feet for parking spaces. A standard car’s parking space is 180
square feet and a compact car’s parking space is 144 square feet. If the
company must have at least 25 parking spaces, select all of the following that
are viable solutions to this parking lot situation.
A. 28 standard car parking spaces and 0 compact car parking spaces
B. 18 standard car parking spaces and 2 compact car parking spaces
C. 9 standard car parking spaces and 21 compact car parking spaces
D. 6 standard car parking spaces and 23 compact car parking spaces
E. 5 standard car parking spaces and 19 compact car parking spaces
F. 0 standard car parking spaces and 28 compact car parking spaces
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! x = number of standard size cars.
y = number of compact size cars.
there are two criteria that have to be satisfied.
they are:
x + y >= 25
180x + 144y <= 4600
selection A and C are not valid because 180x + 144y is not smaller than 4600.
for selection A, you have 28 * 180 = 5040.
for selection C, you have 9 * 180 + 21 * 144 = 4644.
selection B and E are not valid because x + y is not greater than 25.
for selection B, you have x + y = 20.
for selection E, you have x + y = 24.
that leave selections D and F as the only valid options.
there are greater than or equal to 25 cars and the total square space taken is less than or equal to 4600 in each of those options.
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