During their day at the beach, Jae and his friends rent a Jet Ski. They split the $120 rental fee evenly among themselves. Then Jae, with only his friend Morgan, shares the cost of a $16 pizza. If Jae spends a total of $48 for both, then find the number of friends, n, with whom he shared the cost of the Jet Ski rental.

Paige can complete a landscaping job in 6 hours. Malia can complete the same job in 4 hours. Working together, how long would it take them to complete the job?

For solving time and work problems, we generally use the unitary method.

Kenji can finish a puzzle in 2 hours working alone. Oscar can finish the same puzzle in 3 hours working alone. How long would it take Oscar and Kenji to finish the puzzle if they worked on it together?

For solving time and work problem, we generally use unitary method

The speed of a stream is 4 km/h. A boat can travel 6 km upstream in the same time it takes to travel 12 km downstream. Find the speed of the boat in still water.

Solve:

When we solve rational expressions, always cross-check the solutions.

Solve:

When we solve rational expressions, always cross-check the solutions.

Which of the following is the solution of  

We use fundamental operations to solve the linear equation in one variable

A chemist needs alcohol solution in the correct concentration for her experiment. She adds a 6% alcohol solution to 50 gallons of solution that is 2% alcohol. The function that represents the percent of alcohol in the resulting solution is f(x) = [50(0.02) + x(0.06)]/(50 + x), where x is the amount of 6% solution added. How much 6% solution should be added to create a solution that is 5% alcohol?

Russel and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel. How long would it take Russel to build the shed if he were to work alone?

Solve:

We use fundamental operations for solving linear equation in one variable.

Solve:

A commercial jet flies 1500 miles with the wind. In the same amount of time, it can fly 1000 miles against the wind. The speed of the jet in still air is 550 mph. Write a rational equation to find the speed of the wind.

We know that Speed=Distance/Time

If –7 is one solution of the equation y² + cy – 35 = 0, what is the value of c?

A boat travels 8 miles upstream in the same amount of time it can travel 12 miles downstream. In still water the speed of the boat is 5 mi/h. What is the speed of the current?

Solve:

Solve: