gracekellywood
gracekellywood gracekellywood
  • 14-07-2021
  • Mathematics
contestada

a,b,c are all positive integers
a:b=3:8 b:c=6:11
work out the smallest possible value of a+b+c

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-07-2021

9514 1404 393

Answer:

  77

Step-by-step explanation:

We can use a number of ratio units to represent b that is the LCM of 8 and 6. That value is 24. Then multiplying the first ratio by 3 and the second by 4, we have ...

  a:b = 9:24   and   b:c = 24:44

Then the ratios of all are ...

  a : b : c = 9 : 24 : 44

and the sum is 9+24+44 = 77.

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