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15 November, 19:49

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of

3

large boxes and

2

small boxes has a total weight of

54

kilograms. A delivery of

5

large boxes and

6

small boxes has a total weight of

108

kilograms. How much does each type of box weigh?

+2
Answers (1)
  1. 15 November, 21:37
    0
    A fruit company delivers fruits

    => 3 large boxes and 2 small boxes weighs = 54 kilograms

    => 5 large boxes and 6 small boxes weighs = 108 kilograms

    Now, let’s find how does each type of box weigh

    => 3a + 2b = 54, where a and b are the unknown weights of each boxes

    => 5a + 6b = 108

    Multiply the first given equation by 3 on both side to cross out letter B and find the value of A.

    => 3a (3) + 2b (3) = 54 (3)

    => 9a + 6B = 162

    Now subtract this by the second equation:

    => 9a + 6B = 162 - 5a + 6b = 106

    => 4a = 56

    => 4a / a = 56 / 4

    => a = 14 - The weight of large boxes

    Now, let’s find the B

    => 3 (14) + 2b = 54

    => 42 + 2b = 54

    => 2b = 54 - 42

    => 2b = 12

    => 2b/2 = 12/2

    => b = 6 = the weight of small boxes
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