Question

Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​

Answer 1

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = $\frac{kB}{C}$ ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = $\frac{3k}{2}$ ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = $\frac{8B}{C}$ ← equation of variation

when A = 10 and C = 1.5 , then

10 = $\frac{8B}{1.5}$ ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B