Answer :
Step-by-step explanation:
27 = x + 3x +5x
27 = 9x
3 = x
Board 1: (3)(1) = 3 inches
Board 2: (3)(3) = 9 inches
Board 3: (3)(5) = 15 inches
Length of the first piece is 3 inches
Length of the second piece is 9 inches
Length of the third piece is 15 inches
What are equations?
An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find the lengths of all three pieces?
According to the problem,
- The length of the board is 27 inches.
- The board is to be cut into three pieces .
- The second piece is 3 times as long as the first piece
- The third piece is 5 times as long as the first piece.
- x represents the length of the first piece
∴ Length of the second piece = 3x inches
∴ Length of the third piece = 5x inches.
Now, all these pieces will add up to 27 inches.
∴ x + 3x + 5x = 27
⇒ 9x = 27
⇒ x = 3
Length of the first piece = 3 inches
Length of the second piece = (3 x 3) inches = 9 inches
Length of the third piece = (5 x 3) inches = 15 inches
Find more about "Simple Equations" here: https://brainly.com/question/847634
#SPJ2