SOLUTION: A certain steel bar, 58 cm long, is to be divided into four parts, three parts of which are to be of equal lengths, each of which is four less than thrice the length of the remaini
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Question 10809: A certain steel bar, 58 cm long, is to be divided into four parts, three parts of which are to be of equal lengths, each of which is four less than thrice the length of the remaining parts. What are their lengths. Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Let the length of the three equal-length pieces be x and the length of the fourth piece be y.
3x + y = 58
x = 3y-4 Substitute this x into the 1st equation.
3(3y - 4) + y = 58 Simplify and solve for y.
9y - 12 + y = 58
10y - 12 =58
10y = 70
y = 7
x = 3y-4
x = 3(7)-4
x = 21-4
x = 17.
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