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:
C) \(\frac{2}{3} n + \frac{1}{4} n = \frac{5}{6} n + 2\)
Explanation:
Assume that the number is n
For the left hand side:
Two thirds of the number is \(\frac{2}{3} n\)
one fourth of the number is \(\frac{1}{4} n\)
The sum means that we will add them
Therefore, the left hand-side is:
\(\frac{2}{3} n\) + \(\frac{1}{4} n\)
For the right hand side:
five sixth of the number is \(\frac{5}{6} n\)
two is 2
exceeds means that we will add
Therefore,the right-hand side is:
\(\frac{5}{6} n\) + 2
Combining the two sides, we will get the expression:
\(\frac{2}{3} n + \frac{1}{4} n = \frac{5}{6} n + 2\)
Hope this helps :)