AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
The concession stand at a football game sells hot dogs and drinks. It costs . for hot dogs and drink. It costs for hot dogs and Irinks. Which of the following systems of equations can be solved to letermine the cost, , of each hot dog and the cost, , of each drink?
Full solution
Q. The concession stand at a football game sells hot dogs and drinks. It costs . for hot dogs and drink. It costs for hot dogs and Irinks. Which of the following systems of equations can be solved to letermine the cost, , of each hot dog and the cost, , of each drink?
- Translate Equations: Translate the given information into two equations.We are given that hot dogs and drink cost , and hot dogs and drinks cost . Let be the cost of one hot dog and be the cost of one drink. We can write the following equations based on the given information: (for hot dogs and drink) (for hot dogs and drinks)
- Check Equations: Check if the equations are correct and represent the given information.The first equation represents the cost of hot dogs and drink, and the second equation represents the cost of hot dogs and drinks. The coefficients of and correspond to the number of hot dogs and drinks, respectively, and the constants on the right side of the equations represent the total cost for those items. There are no math errors in the representation of the problem as a system of equations.
- Verify System: Verify that the system of equations is the correct choice to solve for and . The system of equations is set up correctly to solve for the cost of one hot dog () and the cost of one drink (). By solving this system, we can find the individual prices for each item.
More problems from Solve equations with variables on both sides: word problems
QuestionGet tutor help
