Question

A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. they decided to split the bill and tip evenly among themselves. which equations and solutions describe the situation? CHECK ALL THAT APPLY.

a. the equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

b. the equation 1/8(x+16)=76 represents the situation, where x is the food bill.

c. the solution x=60 represents the total food bill.

d. the solution x=60 represents each friend's share of the food bill and tip.

e. the equation 8(x+16)=76 represents the situation, where x is the food bill.

Answer 1

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

These both answers are correct.

Step-by-step explanation:

Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.

If x is the food bill our equation can be:

(x+16)/8 = 76/8

Solving the equation

(x+16)/8 = 9.5

x+16= 9.5*8

x= 76 -16

x= 60

The food bill is x=60.

Answer 2

A, c(excluding tip, if the tip is included then c is not the answer)

Explanation:

I solved the Equations:

A)1/8(x+16)=76/8----60 (this is the correct answer!)

B)1/8(x+16=76)------ 592 (NOT the correct answer

c)x=60 Represents total food bill excluding tip

d) x=60 does represent each friends share of the food bill

E) not correct