The concession stand at a football game sells hot dogs and drinks. It costs 34.25 for 2 hot dogs and 1 drink. It costs $7.00 for 3 hot dogs and 2 Irinks. Which of the following systems of equations can be solved to letermine the cost, h, of each hot dog and the cost, d, of each drink?

Question

The concession stand at a football game sells hot dogs and drinks. It costs 34.25 for 2 hot dogs and 1 drink. It costs  $7.00 for 3 hot dogs and 2 Irinks. Which of the following systems of equations can be solved to letermine the cost,  h, of each hot dog and the cost,  d, of each drink?

Bytelearn · Accepted Answer

Translate Equations: Translate the given information into two equations. We are given that 2 hot dogs and 1 drink cost $34.25, and 3 hot dogs and 2 drinks cost $7.00. Let h be the cost of one hot dog and d be the cost of one drink. We can write the following equations based on the given information: 2h + d = 34.25 (for 2 hot dogs and 1 drink) 3h + 2d = 7.00 (for 3 hot dogs and 2 drinks)Check Equations: Check if the equations are correct and represent the given information. The first equation represents the cost of 2 hot dogs and 1 drink, and the second equation represents the cost of 3 hot dogs and 2 drinks. The coefficients of h and d 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 h and d. The system of equations is set up correctly to solve for the cost of one hot dog (h) and the cost of one drink (d). By solving this system, we can find the individual prices for each item.

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