Question

The water park has trolley cars that visitors use to ride throughout the park. The total number of people that all the cars can hold is greater than 480 and less than 500 people. (a) what is a possible number of trolley cars in the park and a possible number of people in each car if all the cars are being used? Each car has the same number of people. Both the number of trolley cars and the number of people in each car must have two digits and be less than 30. (b) explain how you found your answer. (c) what is another solution for the problem in part (a)?

Answer 1

The total number of people that all the cars can hold is greater than 480 and less than 500 people.

A:  According to the given situation, where both the number of trolley cars and the number of people in each car must have two digits and be less than 30.

Hence, the possible number of trolley cars in the park = 22 and a possible number of people in each car= 22

B: explain how you found your answer.

Lets suppose the number of cars be =c and the number of persons be= p

As the number of cars and number of person are same, so c=p

so, $c\times c$ should lie the given range of 480 to 500.

Now, the nearest perfect square that lies between 480 and 500 is 484.

The square root of 484 is 22. So, the number of cars and people are 22.

C: This is the only hit and trial method for solving this question.