Word Problems/Math


QUESTION: A pendulum swings through an angle of 20^o each second. If the pendulum is 40 inches long, how far does the tip move each second?

ANSWER: This can be thought of as a circle.

The radius is 40" and the angle is 20.

The entire circumference is 2pi*r.

Since pi is roughly 3.1416, r is 40", and the angle is 1/18 of a full circle,
That gives us a value of 251", and that's how far it moves.

---------- FOLLOW-UP ----------

QUESTION: graph each of the following equations:

2) -2y>8


4){y>3 and y-x<5

ANSWER: 1) This is a line, y = 3x/2 + 3.
2) This is the half plane below y = -4.
3) This is a diamond between the corners (-10,0), (5,0), (10,0), and (-5,0).
4) This is the region above y-3 and to the left of the line y = 5+x.

---------- FOLLOW-UP ----------

QUESTION: solve each word problem:
1) find three consecutive even integers whose sum is 84?

2) if the perimeter of a rectangular is 34 yd and the length is 2 yd longer than twice the width, then what are the length and width?

3)Mark plans to fence a rectangular area for rabbits alongside his house. He will use 14 feet of fencing only three sides of the rectangle. if the side that runs parallel to the house is 2 feet longer than either of the other two sides, then what are the dimensions of the rectangular area?

1) If n-1,n, and n+1 are the three consecutive integers, this means that
n-1 + n + n+1 is the sum.  Adding these up gives 3n = 84.
Dividing by 3 gives n = 28.  This means the numbers are 27, 28, and 29.

2) Take one side as x, then the other side is x+2.
The perimeter is 2x + 2(x+2) = 2x + 2x + 4 = 4x + 4 = 4(x+1).
If this is 34, then 4(x+1) = 34 can be divided by 4, giving x+1 = 8.5.
Subtracting 1 from both sides gives x = 7.5.

3) If the two sides sticking out from the house are x feet long,
that leaves 14-2x feet of fencing for the other side.

If 14-2x is 2 greater than x, we have 14-2x = x + 2.
Adding 2x-2 to both sides gives 14-2 = 2x+x, which is 12 = 3x, so x=4.
This makes the other sides be 14-2x = 14-8 = 6.

Checking, this is 2 more than 4.

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Scott A Wilson


I have answered every question that was a story problems that had any relation to math for which an answer existed. I have ever answered some questions which had a vague relation to math, but still related.


My experience is from when I started doing story problems in grade school. I have been assisting, helping, and bringing smiles to many others ever since. Are you the next one?

In over 850 questions answered to other users. Maybe you're the next one ...

I received a BA in Mathematical Sciences from OSU and a MS in Mathematics from OSU as well.

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I earned Both my BS degree and MS degree with honors for having such a high grade point average.

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I have answered hundreds and hundreds of students at OSU in the 80's and over 8,500 questions right here, but only a little over 850 of them have been word problems.

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