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.

Answer Link

Otras preguntas

what does the atomic number of an element represent?
Parallelogram DEFG has been rotated. Which statements are correct? Check all that apply.
Which option uses the monitoring method to check the growth of invasive species? A introduction of a predator species B digging of the species C tilling the lan
Explain what all sensory receptors have in common.
Will you be estimating the gross energy or the physiologic energy value of a peanut when you do the calculations for this experiment?
which factors play a role in creating ocean waves
(03.02 LC)Which temporal transition word or phrase can be used to link these two sentences? Ricardo finds he is very hungry and low on energy each time he hikes
What is the relative maximum and minimum of the function? f(x) = 2x2 + 28x - 8
Which of the following is a type of authoritarian government?
what were the conflicts in Europe during the 1990s