a box container both cube and five side pyramid the total number of objects is 17 the total number of side for the cube and pyramid is 95

Question

a box container both cube and five side pyramid the total number of objects is 17 the total number of side for the cube and pyramid is 95 how many cubes are in the box​

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Kim Chi 5 years 2021-08-16T00:40:24+00:00 1 Answers 39 views 0

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  1. thuthao
    0
    2021-08-16T00:41:43+00:00
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    Answer:

    There are 10 cubes in the box

    Explanation:

    Let the total number of cubes be x and the total number of pyramids be y

    Since there are 17 total objects;

    Then;

    x + y = 17 •••••••••(i)

    Also, the total number of sides of cubes is 6 * x = 6x ( a single cube has 6 sides)

    For the pyramid we have 5 * y = 5y

    adding both gives the total number of sides

    6x + 5y = 95 •••••• (ii)

    From i, we cabs say y = 17-x

    plug this in ii

    6x + 5(17-x) = 95

    6x + 85 -5x = 95

    6x-5x = 95-85

    x = 10

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