Melting Snow
Pro Problems > Math > Algebra > Equations > Word Problems > LinearMelting 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?
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
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?
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?
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?
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?
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?
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?
Three Numbers
I'm thinking of three numbers. The second number is fourteen more than the first number, and the third number is twice the second number. If the first number is subtracted from the third, the result is 44. What is the third 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.
Find the Number
The sum of a number and twice that number is 20% more than the result would have been if the number had been increased by 12 and then doubled. What is the number?
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?