math

Given that a:b = 8:5 and b:c= 3:4
find the ratio a:b:c
Give your answer in its simplest form.
Show all working out.

My work:
1) 5 and 3 both equal to b.
2) 8+5=13/2= 11.5
3)3+4=7/2=3.5
4)11.5+3.5= 15

All my working shown I dont understand this question please help!

  1. 14
asked by supersupersuper
  1. Sorry, I don't understand what your "working" is trying to do, but in any case,
    8+5≠13/2≠11.5
    and so on, so some corrections on your part need to be done.

    Given that a:b = 8:5 and b:c= 3:4
    What we need to do is to multiply each ratio appropriately so that the "b" match, and is the LCM of the original "b" values.

    a:b=8:5=3(8:5)=24:15
    b:c=3:4=5(3:4)=15:20
    Since "b" in both ratios are 15 (LCM of 5 and 3), we can conclude that
    a:b:c=24:15:20

    posted by MathMate

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