Respuesta :
Answer: the length of the first piece is 3 inches.
the length of the second piece is 6 inches.
the length of the third piece is 24 inches.
Step-by-step explanation:
Let x represent the length of the first piece of stick.
Let y represent the length of the second piece of stick.
Let z represent the length of the third piece of stick.
The total length of the stick is 33 inches. This means that
x + y + z = 33 - - - - - - - - - - - - 1
The second piece is twice as long as the first piece. This means that
y = 2x
The third piece is three inches more than seven times the length of the first piece. This means that
z = 7x + 3
Substituting y = 2x and z = 7x + 3 into equation 1, it becomes
x + 2x + 7x + 3 = 33
10x + 3 = 33
10x = 33 - 3 = 30
x = 30/10 = 3
y = 2x = 2 × 3
y = 6
z = 7x + 3 = 7 × 3 + 3
z = 24
