Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot a

Question

3 years ago

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Before 8 A.M., there were 64 trucks and 24 cars in a parking lot. Between 8 A.M. and 9 A.M., more cars entered the parking lot a

nd no trucks entered or exited the lot. At 9:00 A.M., the number of trucks represented 1/5 of the parking lot's vehicles. How many cars entered between 8 A.M. and 9 A.M? A. 56 B. 112 C. 148 D. 192 PLZ EXPLAIN

Mathematics

2 answers:

malfutka [58] · Answer 1 · 2022-03-11T13:00:27+03:00

Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

64/(88 + c) = 1/5

Cross-multiply:

88 + c = 64 * 5 = 320

c = 320 - 88 = 232

Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

<em>~ an aesthetics lover</em>