Question

You and some college friends go out to lunch to celebrate the end of midterm exams. There are six of you, and you decide to split the \(\$ 53.86\) bill evenly. a. Estimate how much each person owed for lunch. b. Explain how you determined your estimate. c. How much was cach person's share of the bill? Round your answer to the nearest cent.

Short answer

Answer: Each person's share of the bill is approximately $8.98, rounded to the nearest cent.

Step-by-step solution

Estimation of each person's share

To estimate how much each person owed for lunch, we can round the total bill to a whole number and then divide it by the number of friends.

Explanation of the estimation method

We determined our estimate by rounding the total bill to the nearest whole number and then dividing it by the number of friends, which is an easy calculation. This method does not give us the exact amount but helps us to quickly find the approximate share for each person.

Calculation of the exact share

To find the exact share for each person, we need to divide the total bill by the number of friends, which is 6. So, let's calculate the share: Share = Total Bill / Number of Friends \(\textrm{Share} = \frac{53.86}{6}\) Share = \(\approx 8.98\).

Rounding the share to the nearest cent

To find the share to the nearest cent, we can round the share calculated in Step 3, which is approximately equal to \(8.98\). Rounded Share = \(8.98\) So, each person's share of the bill is approximately $8.98, rounded to the nearest cent.