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? Select two options. The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill. The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill. The solution x = 60 represents the total food bill. The solution x = 60 represents each friend’s share of the food bill and tip. The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.

Answer 1

A & C is your answer.

Answer 2

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

• The solution x = 60 represents the total food bill.

Explanation:

Hi, to answer this question we have to write an equation:

The food bill (x) plus the tip (16) ;divided by the number of friends (8) , must be equal to the total amount spent (76) divided by the number of friends (8):

Mathematically speaking:

(x+16) /8 = 76/8

(x+16) /8 = 9.5

(x+16) = 9.5 (8)

x+16 = 76

x = 76-16

x= 60 (food bill)

So, the correct options are:

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

(1/8 (x+16) =76/8)

• The solution x = 60 represents the total food bill.