SOLUTION: A circular piece of metal is to be cut into 3 pieces of one size and 5 pieces of a larger size so that the degree measure of the central angle of the larger piece is 6 degrees less

Algebra.Com
Question 1126403: A circular piece of metal is to be cut into 3 pieces of one size and 5 pieces of a larger size so that the degree measure of the central angle of the larger piece is 6 degrees less than twice the degree measure of each smaller piece. What is the degree measure of each of the larger pieces?
Answer by ikleyn(52855)   (Show Source): You can put this solution on YOUR website!
.
Let x be the degree measure of each smaller piece.


Then the degree measure of each larger piece is (2x-6).


Your equation is 


    3x + 5*(2x-6) = 360  degrees.


Solve for x:


    3x + 10x - 30 = 360

    13x = 360 + 30 = 390

    x =  = 30 degrees.


Answer.  The smaller piece has the central angle of 30 degrees;

         The larger piece has the central angle of 2*30 - 6 = 54 degrees.

Solved.



RELATED QUESTIONS

A pie is cut into 6 pieces. Five of the pieces are the same size and the six piece is 1/2 (answered by ikleyn)
A piece of licorice is to be cut into 10 equal-size pieces. If the length of the piece of (answered by ReadingBoosters)
A 9ft board was cut into 2 pieces so that one piece is 5 feet longer than 3 times the... (answered by psbhowmick,tutorcecilia)
A 54 inch board is to be cut into three pieces so that the second piece is 3 times as... (answered by negative49)
a 49inch board is to be cut into three pieces so that the second piece is twicw as long... (answered by solver91311,macston)
A log 78 feet long is to be cut into 3 pieces varying lengths. The longest piece is to be (answered by Paul)
If i cut one piece of wood into 2 piece within 30 seconds then how many seconds i need to (answered by rfer)
A 333 inch board is to be cut into 3 pieces so that the 2nd piece is 3 times as long as... (answered by checkley77)
A 20 foot piece of string is cut into two pieces so that one piece is 5 feet longer then... (answered by Fombitz)