an artist cuts a 17 ft piecce of wire into two pieces. one piece is 6 ft longer then the other. how long are the pieces?
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2x = 10
x = ?
i having troublem understanding the steps in word problems
I understand your difficulty in solving word problems.
Please solve this problem.
2x = 10
x = ?
To find the lengths of the two pieces of wire, we can use algebra.
Let's suppose the length of the shorter piece is x ft. Given that the longer piece is 6 ft longer than the shorter piece, its length would be x + 6 ft.
We know that the artist cuts a 17 ft piece of wire into two pieces. So, the sum of the lengths of the two pieces should be equal to 17 ft.
Therefore, we can write the equation:
x + (x + 6) = 17
Simplifying this equation, we get:
2x + 6 = 17
Subtracting 6 from both sides of the equation, we have:
2x = 17 - 6
2x = 11
Dividing both sides of the equation by 2, we find:
x = 11/2
x = 5.5
So, the shorter piece of wire is 5.5 ft long, and the longer piece would be:
5.5 + 6 = 11.5 ft
Therefore, the lengths of the two pieces are 5.5 ft and 11.5 ft, respectively.