Question

The sum of two-thirds of a number and one-fourth of the number exceeds five-sixths of that number by two. . . Which equation could be used to determine the number?. A) 2/3 +1/4 n = 5/6n + 2. B) 2/3n + 1/4 = 5/6n + 2. C) 2/3n + 1/4n = 5/6n + 2

Answer 1

Answer:
C ) 2/3 n + 1/4 n = 5/6 n + 2
Thank you.

Answer 2

C)
`(2)/(3) n + (1)/(4) n = (5)/(6) n + 2`

Step-by-step explanation:

Assume that the number is n

For the left hand side:

Two thirds of the number is
`(2)/(3) n`

one fourth of the number is
`(1)/(4) n`

The sum means that we will add them

Therefore, the left hand-side is:

`(2)/(3) n` +
`(1)/(4) n`

For the right hand side:

five sixth of the number is
`(5)/(6) n`

two is 2

exceeds means that we will add

Therefore,the right-hand side is:

`(5)/(6) n` + 2

Combining the two sides, we will get the expression:

`(2)/(3) n + (1)/(4) n = (5)/(6) n + 2`

Hope this helps :)