Final answer:
Tyler will need to cut 13 strips of wood to have a total length of 9 3/4 inches when the strips are laid end to end.
Step-by-step explanation:
To find the number of strips of wood that Tyler will need to cut, we can set up an equation using the given information. Each strip is 3/4 inches long, and Tyler wants a total length of 9 3/4 inches. Let's represent the number of strips as w. The equation can be written as:
3/4w = 9 3/4
To solve for w, we can divide both sides of the equation by 3/4:
w = (9 3/4) / (3/4)
Dividing fractions by multiplying the reciprocal, we get:
w = (39/4) / (3/4)
This simplifies to:
w = 39/3 = 13
Therefore, Tyler will need to cut 13 strips of wood to have a total length of 9 3/4 inches when the strips are laid end to end.