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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=7.00

3h+2d=4.25
(B) 
2h+d=4.25

3h+2d=7.00
(C) 
3h+d=7.00

2h+2d=4.25
(D) 
2h+2d=4.25

2h+d=7.00

The concession stand at a football game sells hot dogs and drinks. It costs $4.25 \$ 4.25 for 22 hot dogs and 11 drink. It costs $7.00 \$ 7.00 for 33 hot dogs and 22 drinks. Which of the following systems of equations can be solved to determine the cost, h h , of each hot dog and the cost, d d , of each drink?\newlineChoose 11 answer:\newline(A) 2h+d=7.00 2 h+d=7.00 \newline3h+2d=4.25 3 h+2 d=4.25 \newline(B) 2h+d=4.25 2 h+d=4.25 \newline3h+2d=7.00 3 h+2 d=7.00 \newline(C) 3h+d=7.00 3 h+d=7.00 \newline2h+2d=4.25 2 h+2 d=4.25 \newline(D) 2h+2d=4.25 2 h+2 d=4.25 \newline2h+d=7.00 2 h+d=7.00

Full solution

Q. The concession stand at a football game sells hot dogs and drinks. It costs $4.25 \$ 4.25 for 22 hot dogs and 11 drink. It costs $7.00 \$ 7.00 for 33 hot dogs and 22 drinks. Which of the following systems of equations can be solved to determine the cost, h h , of each hot dog and the cost, d d , of each drink?\newlineChoose 11 answer:\newline(A) 2h+d=7.00 2 h+d=7.00 \newline3h+2d=4.25 3 h+2 d=4.25 \newline(B) 2h+d=4.25 2 h+d=4.25 \newline3h+2d=7.00 3 h+2 d=7.00 \newline(C) 3h+d=7.00 3 h+d=7.00 \newline2h+2d=4.25 2 h+2 d=4.25 \newline(D) 2h+2d=4.25 2 h+2 d=4.25 \newline2h+d=7.00 2 h+d=7.00
  1. Define Variables: Let's denote the cost of each hot dog as hh and the cost of each drink as dd. We are given two scenarios with their total costs. We need to translate these scenarios into two equations to form a system of equations.
  2. Translate Scenarios to Equations: For the first scenario, we have 22 hot dogs and 11 drink costing $4.25\$4.25. This can be represented by the equation 2h+d=4.252h + d = 4.25.
  3. Match Equations to Answer Choices: For the second scenario, we have 33 hot dogs and 22 drinks costing $7.00\$7.00. This can be represented by the equation 3h+2d=7.003h + 2d = 7.00.
  4. Identify Correct Answer Choice: Now, let's match our equations to the answer choices. We have the equations:\newline11. 2h+d=4.252h + d = 4.25\newline22. 3h+2d=7.003h + 2d = 7.00\newlineWe need to find the choice that matches these equations.
  5. Identify Correct Answer Choice: Now, let's match our equations to the answer choices. We have the equations:\newline11. 2h+d=4.252h + d = 4.25\newline22. 3h+2d=7.003h + 2d = 7.00\newlineWe need to find the choice that matches these equations.Looking at the answer choices, we can see that choice (B) matches our equations:\newline(B) \newline2h+d=4.252h + d = 4.25\newline3h+2d=7.003h + 2d = 7.00
  6. Identify Correct Answer Choice: Now, let's match our equations to the answer choices. We have the equations:\newline11. 2h+d=4.252h + d = 4.25\newline22. 3h+2d=7.003h + 2d = 7.00\newlineWe need to find the choice that matches these equations.Looking at the answer choices, we can see that choice (B) matches our equations:\newline(B) \newline2h+d=4.252h + d = 4.25\newline3h+2d=7.003h + 2d = 7.00Therefore, the correct system of equations to determine the cost of each hot dog (hh) and the cost of each drink (dd) is given by choice (B).

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