Final answer:
By setting up an equation based on the relationship between Aubrey's scarf length and half of Tyrone's scarf plus 4 inches, solving for T gives us the length of Tyrone's scarf, which is 60 inches.
Step-by-step explanation:
To find out how long Tyrone's scarf is, we can use the information given about Aubrey's scarf. First, let's express the length of Aubrey's scarf in mathematical terms. If T is the length of Tyrone's scarf, A is the length of Aubrey's scarf, and A is 34 inches long, we have:
A = ½T + 4
Substituting the known length of Aubrey's scarf, we get:
34 = ½T + 4
Now, we will isolate T to determine the length of Tyrone's scarf:
- Subtract 4 from both sides of the equation to get: 30 = ½T
- Multiply both sides by 2 to solve for T: T = 60 inches
Therefore, Tyrone's scarf is 60 inches long.