Question: A group of 10 people were planning to contribute equal amounts of money to buy some pizza. After the pizza was ordered, one person left. Each of the other nine people had to pay 60 cents extra as a result. How much was the total bill?
1. **State the problem:**
A group of 10 people planned to pay equally for a pizza. One person left, so 9 people paid instead, each paying 60 cents more. We need to find the total bill.
2. **Define variables:**
Let the total bill be $$T$$.
Originally, each person would pay $$\frac{T}{10}$$.
After one person left, each of the 9 people pays $$\frac{T}{9}$$.
3. **Set up the equation:**
The difference in payment per person is 60 cents, so:
$$\frac{T}{9} - \frac{T}{10} = 0.60$$
4. **Solve the equation:**
Find a common denominator and subtract:
$$\frac{10T}{90} - \frac{9T}{90} = 0.60$$
$$\frac{10T - 9T}{90} = 0.60$$
$$\frac{T}{90} = 0.60$$
Multiply both sides by 90:
$$T = 0.60 \times 90$$
$$T = 54$$
5. **Interpretation:**
The total bill for the pizza is 54 (units of currency without symbol as per instructions).