A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight

Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms. A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?

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Nem 4 years 2021-08-24T12:41:07+00:00 1 Answers 27 views 0

Answers ( )

  1. dangkhoa
    0
    2021-08-24T12:42:36+00:00
    Reply

    Answer:

    Each large box weighs 15.25 kg, and each small box weighs 6.25kg

    Step-by-step explanation:

    Let’s define the variables:

    A = weight of a large box.

    B = weight of a small box.

    We know that:

    “A delivery of 5 large boxes and 3 small boxes has a total weight of 95 kilograms.”

    We can write this as:

    5*A + 3*B = 95 kg

    We also know that:

    “A delivery of 2 large boxes and 6 small boxes has a total weight of 68 kilograms.”

    2*A + 6*B = 68kg

    Then we have the system of equations:

    5*A + 3*B = 95 kg

    2*A + 6*B = 68kg

    To solve this, the first step is to isolate one of the variables in one of the equations.

    I will isolate the variable A in the second equation:

    A = 68kg/2 – 6*B/2 = 34kg – 3*B

    A = 34kg – 3*B

    Now we can replace this in the first equation:

    5*( 34kg – 3*B) + 3*B = 95 kg

    170kg – 15*B + 3*B = 95 kg

    170kg – 12*B = 95 kg

    170kg – 95kg = 12*B

    75kg = 12*B

    75kg/12 = B = 6.25kg.

    Now we can replace this on the equation A = 34kg – 3*B to find the value of A.

    A = 34kg -3*6.25kg = 15.25kg

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