High School

Aubrey's scarf is 4 inches more than half the length of Tyrone's scarf. Aubrey's scarf is 34 inches long. How long is Tyrone's scarf?

Answer :

Answer

Tyrone's scarf is 15 inches long

Step-by-step explanation:

34-4= 30

30/2= 15

Final answer:

To find the length of Tyrone's scarf, given Aubrey's scarf is 34 inches long and it is 4 inches more than half the length of Tyrone's scarf, we solve a linear equation resulting in Tyrone's scarf being 60 inches long.

Explanation:

The question involves solving a linear equation to find the length of Tyrone's scarf based on the length of Aubrey's scarf. It's given that Aubrey's scarf is 34 inches long and that its length is 4 inches more than half the length of Tyrone's scarf. To find the length of Tyrone's scarf, we can set up the equation:

Length of Aubrey's scarf = (1/2 × Length of Tyrone's scarf) + 4

Substituting 34 inches for Aubrey's scarf gives us:

34 = (1/2 × Tyrone's scarf length) + 4

To solve for Tyrone's scarf length, we first subtract 4 from both sides:

30 = 1/2 × Tyrone's scarf length

Next, multiply both sides by 2 to isolate Tyrone's scarf length:

60 = Tyrone's scarf length

Therefore, Tyrone's scarf is 60 inches long.