SOLUTION: A 174-meter rope is cut into two segments. The longer segment is 30 meters longer than the shorter segment.
Write and solve a linear equation to find the length of each segment.
Question 1186778: A 174-meter rope is cut into two segments. The longer segment is 30 meters longer than the shorter segment.
Write and solve a linear equation to find the length of each segment. Include units.
The segments are ___ and ___ long. Found 2 solutions by ikleyn, MathLover1:Answer by ikleyn(52781) (Show Source):
Let x be the length of the shorter segment, in meters.
Then the length of the longer segment is (x+30) meters.
The total length is 174 meters, giving an equation
x + (x+30) = 174.
Simplify and find x
2x + 30 = 174
2x = 174 - 30
2x = 144
x = 144/2 = 72.
ANSWER. One piece is 72 meters; another piece is 72 + 30 = 102 meters.
CHECK. 72 + 102 = 174. ! Correct !
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A -meter rope is cut into two segments.
The longer segment is meters longer than the shorter segment.
Write and solve a linear equation to find the length of each segment. Include units.
let the shorter segment be , then longer segment is
together, both measure
solve for
so, the shorter segment is , then longer segment is
The segments are ___ and ___ long.
