a 60 inch string is cut in 2 pieces, the first piece is 6" longer than twice the second piece, find th elength
Let x = the shorter piece
x + 2x + 6 = 60
3x = 54
x = ?
thank you so much Ms. Sue, can you please help direct me with my other question.
To find the lengths of the two pieces, let's assign variables to represent their lengths.
Let x be the length of the second piece.
Since the first piece is 6 inches longer than twice the second piece, the length of the first piece can be expressed as 2x + 6.
The total length of the string is 60 inches, so we can write an equation to solve for x:
x + (2x + 6) = 60
Simplifying the equation:
3x + 6 = 60
Subtracting 6 from both sides:
3x = 54
Dividing both sides by 3:
x = 18
Therefore, the length of the second piece is 18 inches.
To find the length of the first piece, substitute x into the expression 2x + 6:
2(18) + 6 = 36 + 6 = 42
Hence, the length of the first piece is 42 inches.