Question

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

A-20/9
B-25/9
C-4
D-11

Answer 1

Option A

Explanation:

The given literal equation is
`(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

`(a(a-1))/(a+(a-1))=c`

`c=[(a(a-1))/(2a-1)]`

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

`c=(5(5-1))/((2*5)-1)`

`(5* 4)/(10-1)`

`=(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.