SOLUTION: I have problems with word problems. I can't seem to figure this out. Please help me solve this equation: If a wagon wheel had 10 more spokes, the angle between spokes would decrea

Question 154289: I have problems with word problems. I can't seem to figure this out.
Please help me solve this equation: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 6 degrees. How many spokes does the wheel have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 6 degrees. How many spokes does the wheel have?
---------------------
Let the number of spokes be "x"; then there are x equal central angles
and each is 360/x degrees.
---------------
If there were 10 more spokes there would be "x+10" angles;
each would be 360/(x+10) degrees.
-----------------------------------
EQUATION:
old angle size - new angle size = 6 degrees
360/x - 360/(x+10) = 6
1/x - 1/(x+10) = 1/60
60(x+10) - 60x = x(x+10)
600 = x^2+10x
x^2+10x-600 = 0
(x+30)(x-20) = 0
Positive solution:
x = 20 (original number of spokes)
===================
Cheers,
Stan H.

RELATED QUESTIONS
I can't seem to figure this one out can you help me please? 4n^2 + 20n=0 I have to... (answered by Fombitz,bucky)

Please, please help me solve this equation, I can't seem to figure it out:... (answered by faceoff57,funmath)

Hello - I need assistance. I have a problem that I can't seem to figure out; please see... (answered by stanbon,neatmath,DrBeeee)

How can i figure out how to solve: -3 < J + 2 < 7 If you can help me with... (answered by rahman)

Hi, I am having trouble figuring out the correct equation to form from the following word (answered by lwsshak3)

Can anyone give me about 4 or 5 Word Problems that you use Substitution or Elimination to (answered by ptaylor)

I have always struggled with word problems and I need some help. Can you explain how to... (answered by rfer,Alan3354)

I have to graph these functions. y = |5x - 3| + 1 and {{{ y = 3 - (2/5)x }}} (answered by stanbon)

This is not from a textbook. The equation D = 1.2sqrt( h ) gives the distance, D, in (answered by solver91311)