SOLUTION: a 53inch pipe is cut into four pieces. the first two pieces are the same. the third piece is 4 times longer than the first piece. the fourth piece is 5 more than 3 times longer tha

Question 170662: a 53inch pipe is cut into four pieces. the first two pieces are the same. the third piece is 4 times longer than the first piece. the fourth piece is 5 more than 3 times longer than the second piece. find the equation and the length of the four pieces
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call the 4 pieces a,b,c,and d
a=b..........eq 1
c=4a.........eq 2
d=3b+5.......eq 3
a+b+c+d=53...eq 4
:
lets chang c's value in eq 2 to c=4b because of eq 1....now take a's value from eq 1 c's revised value from eq 2, and d's value from eq 3 and plug them into eq 4.
:
b+b+(4b)+(3b+5)=53....solve for b
:
9b=48
:
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