Problems Involving Rates

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

1. Terilyn hired a mechanic to replace her radiator. The new radiator cost $275, but the labor costs were $80 per hour. If the total bill was $515, how many hours did it take the mechanic to install the radiator?
2. The math department wants to order pizzas for a department meeting. It costs $18 per pizza, plus a $10 delivery fee and a $5 tip. If the department has a budget of $141, how many pizzas can they order?
3. In a certain city, a taxi ride costs a flat rate of $2.50 plus an additional $1.25 per mile traveled. How far did Elena ride if she took a taxi and was charged a total of $33.75?
4. A telephone company charges a monthly fee of $40 for a telephone and 15 cents per minute for long distance calls. How many minutes of long distance calls did someone make in a month if their phone bill was $76?
5. Two machines produce spatulas. The smaller machine costs $750 to set up and $0.25 per spatula produced. The larger machine costs $1200 to set up but only $0.20 per spatula. How many spatulas must the company produce to make it worthwhile to use the larger machine?