A Third of a Fourth
Pro Problems > Math > Algebra > Equations > Word Problems > LinearA 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?
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
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?
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?
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?
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?
Snake in the Grass
Two snakes started out the same length. The first snake grew five inches, and the second grew by half its own length. If the first snake is now two inches shorter than the second snake, what was the original length of the two snakes?
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.
White Board Markers
I have a problem with dry erase markers disappearing from my classroom. A third of my markers were stolen by a student, and then one of my co-workers "borrowed" four markers. After that I realized that half of the remaining markers didn't work, so I threw them away.
In the end, I just had two markers left.
How many did I start with?
Next Year
Next year, Martha will be three times as old as she was 17 years ago. How old is Martha now?
Arithmetic Operation Word Problem
If 12 more than a number is added to the number, and three times the number is subtracted, the result is the original number. What is the original number?
Moving Christmas
Hermie doesn't want to celebrate Christmas on December 25th, so he suggested moving it to a date n days later. Rudolph protested that then Christmas wouldn't happen as often.
Frosty then suggested that the date could be moved n days in the other direction. If Frosty's suggestion was followed, on what day would Christmas fall?