Question

After biking 5 ½ miles, Jada has travelled ⅔ of the length of her trip. How long is the entire length of her trip? Write an equation for her situation and solve the problem

Answer 1

To find the length of Jada's entire trip, set up the equation 5 ½ = ⅔x, where x represents the total length. Solve for x to find that the entire length is 5 ½ miles.

Step-by-step explanation:

To solve this problem, we can set up an equation. Let's say the entire length of Jada's trip is represented by x miles. According to the problem, she has already biked 5 ½ miles, which is ⅔ of the length of her trip. This can be represented as the equation:

5 ½ = ⅔x

To solve for x, we can multiply both sides of the equation by the reciprocal of ⅔, which is 3/2:

5 ½ * 3/2 = ⅔x * 3/2

16 ½ = 3x

Now we can divide both sides of the equation by 3 to isolate x:

16 ½ ÷ 3 = 3x ÷ 3

5 ½ = x

Therefore, the entire length of Jada's trip is 5 ½ miles.

Answer 2

Answer: 8.25 miles

Step-by-step explanation:

if 5.5 is 2/3 of the trip then half of 5.5, 2.75 ,is 1/3 of the trip. 2.75 x 3 = 8.25 miles