Best answer gets !write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. the total of the bill is 114 and there is 4 people splitting the bill. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

Let P be what a person pays at the restaurant. As we have 4 people splitting a $114 evenly, we want to find out what one person pays. We don't know 1 person's payment, but all 4 are $114.

Our expression is 4P = 114

We can divide 114 by 4 (and thus get one P on the left) to find out what each person is responsible for. See this link - - https://divisible.info/LongDivision/How-to-calculate-114/divided-by-4-using-long-division.html -- to go through the process of the long division.

Each person would be responsible for $28.50. Since each person is paying an equal amount, no one person is going to save money over the other because Person 1 will pay the same as Person 2, who pays the same as Person 3 and as Person 4. Because Person 1 = Person 2 = Person 3 = Person 4, no one person will save because they are equally responsible for $28.50.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)