Question

Fulton is building a doghouse. He cuts 5 equal-sized pieces from a board that is 15 feet long. After cutting the pieces, he has 2
Which of these equations and expressions will, when solved or simplified, give the length of the 5 pieces of wood Fulton cut?

Answer 1

Answer:

X=15 divided by 2

Step-by-step explanation:

Where X equals 5.

Answer 2

Answer:

$5x + 2\frac{1}{2} = 15$  and $\frac{15 - 2\frac{1}{2} }{5}$

Step-by-step explanation:

Assume the length of each piece of wood is x feet.

We can say that the length of uncut board = (number of pieces × length of each piece) + length of leftover board, or $15 = 5x + 2\frac{1}{2}$.

Apply the Symmetric Property of Equality:

$5x + 2\frac{1}{2} = 15$

Subtract $2\frac{1}{2}$ from both sides of the equation:

$5x = 15 - 2\frac{1}{2}$

Divide both sides by 5: (See image)

Cancel out the common terms from the numerator and denominator:

$x = \frac{5}{2}$

$= 2\frac{1}{2}$