Question

Given the literal equation ab/a+b = c , with b = –1 + a, what is the value of c if a = 5?

Answer 1

Answer:

Option A

Step-by-step explanation:

The given literal equation is $\frac{ab}{a+b}=c$

with b = ( a-1 )

We have to calculate the value of c when a = 5  

Now we put b = ( a - 1 ) in literal equation

$\frac{a(a-1)}{a+(a-1)}=c$

$c=[\frac{a(a-1)}{2a-1}]$

Now we have to calculate the value of c when a = 5

$c=\frac{5(5-1)}{(2*5)-1}$

$\frac{5\times 4}{10-1}$

$=\frac{20}{9}$

Option A is the answer.

Answer 2

The solution would be like this for this specific problem:

ab/a+b = c 

b = -1 + a

for c:
(5(-1 + 5))/(5 + (-1 +5))
5(4)/ 5 + 4
20 / 9

The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.