The concession stand at a football game sells hot dogs and drinks. It costs $4.25 for 2 hot dogs and 1 drink. It costs $7.00 for 3 hot dogs and 2 drinks. Which of the following systems of equations can be solved to determine the cost, h, of each hot dog and the cost, d, of each drink?Choose 1 answer:(A) 2h+d=7.003h+2d=4.25(B) 2h+d=4.253h+2d=7.00(C) 3h+d=7.002h+2d=4.25(D) 2h+2d=4.252h+d=7.00
Q. The concession stand at a football game sells hot dogs and drinks. It costs $4.25 for 2 hot dogs and 1 drink. It costs $7.00 for 3 hot dogs and 2 drinks. Which of the following systems of equations can be solved to determine the cost, h, of each hot dog and the cost, d, of each drink?Choose 1 answer:(A) 2h+d=7.003h+2d=4.25(B) 2h+d=4.253h+2d=7.00(C) 3h+d=7.002h+2d=4.25(D) 2h+2d=4.252h+d=7.00
Define Variables: Let's denote the cost of each hot dog as h and the cost of each drink as d. We are given two scenarios with their total costs. We need to translate these scenarios into two equations to form a system of equations.
Translate Scenarios to Equations: For the first scenario, we have 2 hot dogs and 1 drink costing $4.25. This can be represented by the equation 2h+d=4.25.
Match Equations to Answer Choices: For the second scenario, we have 3 hot dogs and 2 drinks costing $7.00. This can be represented by the equation 3h+2d=7.00.
Identify Correct Answer Choice: Now, let's match our equations to the answer choices. We have the equations:1. 2h+d=4.252. 3h+2d=7.00We need to find the choice that matches these equations.
Identify Correct Answer Choice: Now, let's match our equations to the answer choices. We have the equations:1. 2h+d=4.252. 3h+2d=7.00We need to find the choice that matches these equations.Looking at the answer choices, we can see that choice (B) matches our equations:(B) 2h+d=4.253h+2d=7.00
Identify Correct Answer Choice: Now, let's match our equations to the answer choices. We have the equations:1. 2h+d=4.252. 3h+2d=7.00We need to find the choice that matches these equations.Looking at the answer choices, we can see that choice (B) matches our equations:(B) 2h+d=4.253h+2d=7.00Therefore, the correct system of equations to determine the cost of each hot dog (h) and the cost of each drink (d) is given by choice (B).