Final answer:
To find the value of a, substitute b=92 into the equation to get a=54/(3*92), which simplifies to a=1/5.09, or approximately 0.196. Thus, there's no correct option listed.
Step-by-step explanation:
The question asks to find the value of a in the equation 3ab=54, given that b=92. To solve for a, you can rearrange the equation to isolate a on one side:
- Substitute the value of b in the equation: 3a(92) = 54.
- Divide both sides of the equation by 3*92 to find a: a = 54 / (3*92).
- Simplify to find the value of a: a = 54 / 276.
- Reduce the fraction to its simplest form: a = 1 / 5.09, which is approximately 0.196.
Therefore, the value of a does not match any options given in the multiple-choice answers (a) 15, (b) 18, (c) 21, or (d) 27.