3. Gloria has 2 lengths of rope. One is 6 feet longer than the other.
If the two lengths add up to 18 feet, how long are they?
We will use the steps for solving word problems
The first stepis to define your unknown or unknowns. The most
efficient wayt to do this is to let your unknow be what the problem
is asking for. In this case, there are two unknowns, the two lengths of
rope. But if we let x be the one piece of rope, the fact that the other
piece is 6 feet longer allows us to express all of our unknowns with
only one equation. So we
Now the information that the two pieces of rope add up to 18
feet can be expressed as
This is an equation that can be solved. Remove parentheses and
combine like terms
Subtract 6 from each sied
Divide both sides by 2
Check. If one piece is 6 feet long then the piece which is 6 eet longer
would be 12 feet, and the two pieces would total to 18 feet.
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