Answer:
15 : 8 : 12
Step-by-step explanation:
Express each of the ratios in terms of c , that is
b = [tex]\frac{2}{3}[/tex] c
4a = 5c ( divide both sides by 4 )
a = [tex]\frac{5}{4}[/tex] c
Then
a : b : c
= [tex]\frac{5}{4}[/tex] c : [tex]\frac{2}{3}[/tex] c : c
= [tex]\frac{5}{4}[/tex] : [tex]\frac{2}{3}[/tex] : 1 ( multiply 3 parts by 12 to clear the fractions )
= 15 : 8 : 12
The ratio will be 15:8:12 if b is two third of c and 4a=5c.
It is a relation between two quantities of variable and it expresses the quantity of one variable in number of times the other.
We have been given that b is two third of c and 4a=5c. So we need to first change the values in terms of c. Then ,
b=2c/3 and
a=5c/4
Then put the values of a and b in the ratio which we have to be found. That is a:b:c
a:b:c=5c/4:2c/3:c
Taking LCM we will found the ratio be
a:b:c=15c:8c:12c
by cancelling the c we got
a:b:c=15:8:12
Hence the ratio will be 15:8:12 when b is two thirds of c and 4a=5c
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