Question

3. 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

a) One possible solution is to have 22 cars with 22 people in each car.

b) In order to solve the problem, first we need to assume the number of people from within the range specified (greater than 480 and less than 500). So we will assume we have 484 people in total.

Now, we need to try to find a number less than 30 with two digits that is divisible by 484; which is the number 22.

c) Another possible solution is to assume we have a total of 486 people. Therefore, you have 27 cars with 18 people in each car or vice versa (18 cars with 27 people in each car).