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

Answer: The two correct equations are:

A) 1/8 (x+16) = 76/8 (where x=Food Only)

C) x = 60 (where x=Food Only)

Explanation:

Pick TWO that describe the situation (not necessarily solve):

A) 1/8 (x+16) = 76/8 (where x=Food Only)

B) 1/8 (x+16) = 76 (where x=Food Only)

C) x = 60 (where x=Food Only)

D) x = 60 (where x=Food + TIP)

E) 8 (x+16) = 76 (where x=Food Only)

Check Equation for Option A:

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

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

Multiply by 8:

x + 16 = 76

Subtract 64 from both sides:

x = 76 - 16

x = 60 (Correct x=Food Only)

Check Equation for Option C:

x=60 (Correct x=Food Only)