Question

Half of Ethan string is equal to 2/3 of Kayla stream the total length of the string is 10 feet how much longer is Ethan string Kayla string

Answer 1

Answer:

10/7 feet

Step-by-step explanation:

Let e = Ethan

k = Kayla

The following equations can de derived from the equation :

1/2 e = 2/3k

multiply both sides of the equation by 2

e = 4/3k --- 1

e + k = 10 --- 2

Substitute for e in equation 2

4/3k + k = 10

7/3k = 10

multiply both sides of the equation by 3/7

k = 30/7

Substitute for k in equation 1

e = (4/3) x 30/7 = 40/7

difference in length = 40/7 - 30/7 = 10/7