Giant Roller Coaster
Pro Problems > Math > Algebra > Equations > Word Problems > LinearGiant Roller Coaster
An amusement park has an enormous roller coaster with 48 roller coaster cars, each of which was carrying the same number of people. Six of the cars were removed from the coaster, and each of the remaining cars had to carry one extra person. How many people were there on the roller coaster?
Solution
In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.
Similar Problems
Three Numbers
I have a sheet of paper with three integers written on it. If I add them together, I have a sum of 38.
Two of the numbers differ by one. One of the three numbers is 11.
What is the largest possible integer that could be written on the paper?
Stair climber
Nathan started at the bottom of the stairs and climbed n steps. After that he went down n - 4 steps, and was then 15 steps from the top of the stairs. How many steps are there?
Next Year
Next year, Martha will be three times as old as she was 17 years ago. How old is Martha now?
A Third of a Fourth
Half of a third of a number is decreased by six, and a third of a fourth of the result is increased by ten. One fifth of the result is 17. What is the original number?
Finding X
Two more than twice the sum of x and five is equal to twelve less than three times the sum of x and two.
Melting Snow
The day after a snowstorm, 25% of the snow that fell melted. Then there was another snowstorm in which twice as much snow fell as in the first storm. Then 25% of the total remaining snow on the ground melted, leaving 33 inches. How much snow fell in the first storm?
Until New Years Day
The number of seconds until New Years Day (when the ball drops at Midnight) is equal to the number of hours since the last time the ball dropped. Assuming a non-leap-year, what is the current date and time, to the nearest minute?
Square of a Sum
The sum of the squares of two positive numbers is 96 less than the square of the sum of the two numbers. If one number is two more than the other, what are the two numbers?
Yards and Feet
The height of a building measured in feet is 196 more than its height measured in yards. What is the height of the building in feet?
Adding It Up
The sum of a number and five more than that number is 47. What is the number?
Blogs on This Site
