the average length of string a and string d is 10x cm. the average length of string b and string c is 8x cm . the average length of strings

Question

the average length of string a and string d is 10x cm. the average length of string b and string c is 8x cm . the average length of strings b , c , d is 6x cm . find the length of string a in terms of x

in progress 0
niczorrrr 4 years 2021-08-11T23:54:47+00:00 1 Answers 10 views 0

Answers ( )

  1. giabao
    0
    2021-08-11T23:56:32+00:00
    Reply

    Answer:

    a = 18x

    Step-by-step explanation:

    Given

    \frac{1}{2}(a + d) = 10x

    \frac{1}{2}(b + c) = 8x

    \frac{1}{3}(b + c+d) = 6x

    Required

    The value of (a)

    We have:

    \frac{1}{2}(a + d) = 10x — multiply by 2

    \frac{1}{2}(b + c) = 8x — multiply by 2

    \frac{1}{3}(b + c+d) = 6x — multiply by 3

    So, we have:

    \frac{1}{2}(a + d) = 10x

    a + d = 20x

    \frac{1}{2}(b + c) = 8x

    b + c = 16x

    \frac{1}{3}(b + c+d) = 6x

    b + c + d= 18x

    Substitute b + c = 16x in b + c + d= 18x

    16x + d = 18x

    Solve for d

    d = 18x - 16x

    d = 2x

    Substitute d = 2x in a + d = 20x

    a + 2x = 20x

    Solve for (a)

    a = 20x - 2x

    a = 18x

Leave an answer

Browse

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