Question

A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split the bill and tip evenly among themselves.
One of the friends used the equation One-fourth (t + 34) = StartFraction 40 over 4 EndFraction to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip?
Each friend paid $8.50 for the food and $1.50 for the tip.
Each friend paid $10.00 for the food and $6.00 for the tip.
Each friend paid $8.50 for the food and $6.00 for the tip.
Each friend paid $10.00 for the food and $1.50 for the tip.

Answer 1

Solve (t + 34)/4 = 40/4 → (t + 34)/4 = 10 → t + 34 = 40 → t = 6.
Total tip = $6, so tip per person = 6/4 = $1.50. Food per person = 34/4 = $8.50.

Answer: Each friend paid $8.50 for the food and $1.50 for the tip.