SOLUTION: zach had a rope that was 15 feet long. he cut it into 3 pieces. the first piece is 3.57 feet longer than the second piece. the third piece is 2.97 feet longer than the second piece

Question 881201: zach had a rope that was 15 feet long. he cut it into 3 pieces. the first piece is 3.57 feet longer than the second piece. the third piece is 2.97 feet longer than the second piece. how long is the third piece of rope?

Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
A + B + C = 15
A = B + 3.57
C = B + 2.97
Substitute the known values of A and C in the 2nd and 3rd equations into the first.
(B+3.57) + B + (B+2.97) = 15
Add
3B + 6.54 = 15
Subtract 6.54 from each side
3B = 8.46
Divide each side by 3
B = 2.82
.
If the length of the second piece is 2.82, then A is 2.82+3.57, or 6.39
C is 2.82+2.97, or 5.79
The lengths are 6.39, 2.82, and 5.79
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