# math

posted by supersupersuper

Given that a:b = 8:5 and b:c= 3:4
find the ratio a:b:c
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

1. MathMate

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

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