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22 September, 11:19

Harry and Taylor are running a concession stand for a concert. Hot dogs at the concession stand cost $1.25 each and sodas cost $0.75 each. During one concert, the concession stand earns $352.50 after selling 380 total hot dogs and sodas. The following system of equations can be used to represent the sales at the concession stand where h represents the number of hot dogs sold and s represents the number of sodas sold. 1.25h + 0.75s = 352.50 h + s = 380 Which of the following correctly describes the solution to the system of equations? Group of answer choices

a-135 hot dogs and 245 sodas were sold.

b - 45 hot dogs and 335 sodas were sold.

c - 33 hot dogs and 347 sodas were sold.

d - 125 hot dogs and 255 sodas were sold.

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Answers (2)
  1. 22 September, 11:33
    0
    a-135 hot dogs and 245 sodas were sold.

    Step-by-step explanation:

    Our equations are:

    1.25h + 0.75s = 352.50

    h + s = 380

    Let's use substitution to solve for this system. In the second equation, let's write h in terms of s:

    h + s = 380

    h = 380 - s

    Now, let's plug in 380 - s for h in the first equation:

    1.25h + 0.75s = 352.50

    1.25 (380 - s) + 0.75s = 352.50

    We can now solve for s fairly easily:

    1.25 (380 - s) + 0.75s = 352.50

    475 - 1.25s + 0.75s = 352.50

    0.5s = 122.5

    s = 245 sodas

    We can already see which answer choice will match: A, and that is our answer.
  2. 22 September, 11:44
    0
    a-135 hot dogs and 245 sodas were sold.

    Step-by-step explanation:

    1.25h + 0.75s = 352.50

    h + s = 380

    h = 380 - s

    1.25 (380 - s) + 0.75s = 352.50

    475 - 1.25s + 0.75s = 352.50

    122.5 = 0.5s

    s = 245

    h = 380 - 245

    h = 135
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Home » Mathematics » Harry and Taylor are running a concession stand for a concert. Hot dogs at the concession stand cost $1.25 each and sodas cost $0.75 each. During one concert, the concession stand earns $352.50 after selling 380 total hot dogs and sodas.
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