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About Abe Mantell
(Top Expert on this page)

Expertise
Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience
Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

   

You are here:  Experts > Science > Math for Kids > Word Problems

SubjectDate AskedExpert

Word problems/ Algebra7/16/2008Abe Mantell
  Q: I am having difficulty creating the formula to solve word problems. For example:A traveling club ...
  A: Let x=the number of people initially in the club. Thus, the initial cost per person is $150,000/x, ...
Math Word Problem finding current7/15/2008Abe Mantell
  Q: A motoboat heads upstream a distance of 12 miles on a river whose current is running at 5 miles per ...
  A: Let x=the speed of the boat relative to the water. Thus, the actual speed upstream is x-5 miles/hr, ...
math7/12/2008Abe Mantell
  Q: melinda has 3pairs of red socks,2 pairs of black socks and 5 pairs of white socks . how many minimum ...
  A: Are you sure you mean what is the "minimum" # that can be removed? Also, I gather she needs to be ...
how do i covert in the metric system7/11/2008Abe Mantell
  Q: I'm having a test monday and I'm having trouble converting.
  A: The easiest way to do any conversions is to use what are called "unit fractions." That is, you ...
Help Solve7/7/2008Abe Mantell
  Q: 1.If you earned an average of $25,000 over your working life you retire after 2005 at 62, 63, or 64, ...
  A: OOPS! Sorry, disregard my previous reply to this! OK... 1. Let x=age, y=SS benefit. Thus, ...
Help Solve7/6/2008Abe Mantell
  Q: After 2 minutes on a treadmill, Jenny has a heart rate of 82. After 3 minutes she has a heart rate ...
  A: Let x=the time (in minutes), y=heart rate. Thus, we get the two ordered pairs: (2,82) & (3,86) ...
please tell me how to do it as soon as possible7/5/2008Abe Mantell
  Q: A salesman drove to portland a distance of 300 miles. during the last 80 miles of his trip heavy ...
  A: Let x=the original speed (in miles/hr), thus x-15=the speed during the last 80 miles. Let t=the time ...
problem solving7/2/2008Abe Mantell
  Q: The midpoints of the sides of a square of side 1 inch are joined to form a new square. This ...
  A: Clearly, the area of the first square is 1^1 ==> A1=1 The second square has sides sqrt(2)/2, so its ...
sine and cosine word problem5/23/2008Abe Mantell
  Q: Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 22mph in a ...
  A: After 5 hrs, the distance they have traveled is: The 22 MPH boat: 110 miles The 29 MPH boat: 145 ...
Would you help us with this, please.3/11/2008Qaiser Khan
  Q: I am hoping you will read this math problem and tell us what you come up with and how, I won't give ...
  A: if you are familiar with factorials then you would know the answer is 3! = 3 x 2 x 1 = 6 ways if ...
word problem3/9/2008Soroban
  Q: The hypotenuse of a right triangle has a length of 13 cm. The sum of the lengths of the two legs is ...
  A: Anan! >> How did a^2 + (17-b)^2 = 169 become (2a)^2 - 34a + 120 = 0 ? I typed it wrong . . . ...
How many EGGS?3/8/2008Soroban
  Q: An old lady had a vast Quantity of eggs to sell, when asked how many she said if you divide the ...
  A: Larry! This is a messy one! It requires some special techniques. Lucky for both of us, I know ...
Math3/5/2008Soroban
  Q: The zoo is ordering bird seed. The keeper of the bird cages knows that two crested cockatoos wil eat ...
  A: Michael! >> The zoo is ordering bird seed. >> Two cockatoos eat 2 pounds of birdseed every two ...
Inequality word problem3/4/2008Soroban
  Q: Can you help me to set an inequality to the following: Two liters of an acid of concentration ...
  A: Stephanie! This is a tricky one . . . We have 3 liters which is 30% acid. It contains: ...
matrix word problem3/2/2008Soroban
  Q: How do i set up the equations to solve this problem using matrices? You can purchase peanuts for $3 ...
  A: Ashley! Let P = pounds of peanuts A = pounds of almonds C = pounds of cashews The mixture ...
Heading of a Boat3/2/2008Soroban
  Q: here is another tough one. (Tough for me at least) A person who can row 2.6 mph in still water ...
  A: Richard! We need a diagram. Draw a horizontal line. Label the left end "A", the right end "B". ...
?2/27/2008Soroban
  Q: (If I already asked you his the other day I aplogize - my internet is sporadic!) I have a set of ...
  A: Ali! >> I have a set of 40 separate objects which can be organized in a consecutive >> random ...
Matrices word problem2/27/2008Soroban
  Q: An investment banker wishes to invest 150,000 in US and German Stocks and Bonds. Stocks are not as ...
  A: Klee! You have a very good start on this problem . . . >> A banker wishes to invest 150,000 in US ...
Algebra Word Problem using AT MOST2/27/2008Soroban
  Q: You have $19 dollars to buy pink and violet stickers. The pink stickers cost $2.20 per sticker and ...
  A: Olivia! Let x = number of pink stickers. Let y = number of violet stickers. The pinks cost $2.20 ...
word problem involving fraction2/27/2008Soroban
  Q: A used car dealer will make a profit on the sale of a car if the cost of the new car is less than ...
  A: Stacey! This takes a bit of Algebra . . . We're told: [Cost] < 3/4 x [Selling Price] We are ...
help with math word problom2/26/2008Soroban
  Q: Find the length of the diagonal of a rectangle with a length of 16 inches and a width of 7 inches
  A: Joachim! Make a sketch. The length of the rectangle is 16 inches, its width is 7 inches. Draw a ...
Word Problem2/26/2008Soroban
  Q: A 10-Quart radiator has 30% antifreeze. How much of the fluid should be drained and replaced with ...
  A: Michelle! This one is trickier than the usual "Mixture Problem." We will consider the amount of ...
Inequality Word Problem2/26/2008Soroban
  Q: A manufacturer of solar heaters finds that when x units are made and sold, the profit (in thousands ...
  A: Michelle! We have: P = x² - 50x - 5000 This is an up-opening parabola, shaped like "U". Profit ...
word problem help2/22/2008Soroban
  Q: Cost of Paint. The first coat of paint for the outside of a building requires 1L of paint for each ...
  A: Sherrie! We just have to "walk" through this problem. There are two walls that are 20 m long and ...
Related Rates problem...2/21/2008Soroban
  Q: A lighthouse is at point A, 5km North offshpre from the nearest point O of a straight beach. A store ...
  A: Kim! This is a classic problem, found in every Calculus book. By the way, it's not "related ...
Alegebra Word Problem2/21/2008Soroban
  Q: find 3 consecutive odd integers such that five times the 1st increased by the second is equal to ...
  A: Suncerae! Consecutive odd integers "go up by 2's". Let x = first odd integer x + 2 = second ...
Geometry: Pizza Prices2/21/2008Soroban
  Q: The Pizza Palace has started to make square pizzas. This sounds good to Myra, who wants her family ...
  A: Liwie! I think Sam is wrong . . . Mondo's 12-inch round pizza has about 113 square inches. ...
algebra2/21/2008Soroban
  Q: My son has a problem that he is not sure how to work. It is: The distance an object falls is ...
  A: Cyndi! "Distance is proportional to the square of the time." This means: d = kt² (where k is ...
Table Talk2/19/2008Soroban
  Q: The Mayberry's circular table has an area of 1256 square inches. The table opens in the middle to ...
  A: Stephanie! We must take the given information and work backwards . . . The table has radius R. ...
math2/19/2008Soroban
  Q: if i have the area of a triangle how do i find the base and height?
  A: Mia! Without more information, we can NOT find the base and height. There is an infinite number ...
Algebra2/18/2008Soroban
  Q: Casey can travel 8 miles upstream in the same time it takes her to go 12 miles downstream. Her boat ...
  A: ShaKelly! We will use: [Time] = [Distance] / [Speed] Let x = speed of current (miles per ...
rate of speed in water2/16/2008Soroban
  Q: A speedboat takes 1 hour longer to go 24 miles up a river than to return. If the boat cruises at 10 ...
  A: Melissa! Here's my approach to upstream-downstream problems . . . We'll use: [Distance] = ...
Please Help!2/16/2008Soroban
  Q: If Abby leaves home at 8am and is traveling 55 mph. Two hours later, her mom follows her traveling ...
  A: Aris! Abby travels at 55 mph and has a two-hour headstart. She is already 110 miles away. ...
algebra systems of equations word problem2/15/2008Soroban
  Q: My daughter is having difficulty with system of equations word problems like this: The ten's digit ...
  A: Lili! These can be tricky if you don't understand how two-digit numbers are constructed. Let ...
multi step word problem2/14/2008Soroban
  Q: Please help me set up the equation to solve the following Algebra word problem: A Pager Company ...
  A: Nicole! Let x = number of months. Plan A costs: 25 + 6.50x dollars Plan B costs: 8x dollars ...
word problem2/14/2008Soroban
  Q: the toll to a bridge is $3.00. A three-month pass cost $7.50 and reduces the toll to $0.50. a six ...
  A: Juan! Let x = number of crossings in a 3-month period. Plan A: each crossing costs $3. ...
Remedial College Math2/13/2008Soroban
  Q: I can't seem to figure out how to start. A chemist mixed some 15% peroxide solution with some ...
  A: Stacy! These "mixture problems" drove me crazy until I learned to organize the information. We ...
Algebra 22/13/2008Soroban
  Q: At a chinese dinner party, there was a dish of rice for every 3 guests, a dish of broth for every 4 ...
  A: Olivia! Let N = number of guests. Rice was served to every 3rd guest. There were: N/3 dishes ...
Math2/12/2008Soroban
  Q: Suppose that a large pump can empty a swimming pool in 50 hrs and that a small pump can empty the ...
  A: Angela! I have a favorite approach to these "Work" problems. I hope you like it. Pump A takes ...
word problem2/11/2008Soroban
  Q: I am not sure how to solve this, I am trying to help my 5th grader with math and its been a long ...
  A: Ann! The tricky part is translating Words into Math. Let X = length of one piece. The other is "2 ...

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