A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers. She had 35 prescriptions altoge

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A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers. She had 35 prescriptions altogether. How many did she have for tranquilizers?

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Minh Khuê 1 year 2021-08-31T15:12:04+00:00 1 Answers 0 views 0

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    2021-08-31T15:13:35+00:00

    Answer:

    She had 14 prescriptions for tranquilizers.

    Step-by-step explanation:

    This question can be solved using a system of equations.

    I am going to say that:

    x is the number of prescriptions she had for antibiotics.

    y is the number of prescriptions she had for tranquilizers.

    A pharmacist found at the end of the day she had 3/2 as many prescriptions for antibiotics as tranquilizers.

    This means that:

    [tex]\frac{x}{y} = \frac{3}{2}[/tex]

    [tex]x = \frac{3y}{2}[/tex]

    She had 35 prescriptions altogether.

    This means that:

    [tex]x + y = 35[/tex]

    How many did she have for tranquilizers?

    We want to find y. Since [tex]x = \frac{3y}{2}[/tex], we solve the following equation.

    [tex]x + y = 35[/tex]

    [tex]\frac{3y}{2} + y = 35[/tex]

    Multiplying everything by 2

    [tex]3y + 2y = 70[/tex]

    [tex]5y = 70[/tex]

    [tex]y = \frac{70}{5}[/tex]

    [tex]y = 14[/tex]

    She had 14 prescriptions for tranquilizers.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )