133,303 views
4 votes
4 votes
5/6x+1/12= 15 1/3+1/3xsolve for x

User Hosselausso
by
2.5k points

1 Answer

29 votes
29 votes

Answer:

x = 61/2 = 30.5 = 60 1/2

Explanation:

We have:


(5)/(6)x+(1)/(12)=15+(1)/(3)+(1)/(3)x

We have to find the Least Common Multiple to solve this question:


\begin{gathered} (2\cdot5x+1=12\cdot15+4+4x)/(12) \\ (10x+1=180+4+4x)/(12) \\ 10x+1=180+4+4x \\ 10x-4x=180+4-1 \\ 6x=183 \\ x=(183)/(6) \\ x=(61)/(2)=30.5=30(1)/(2) \end{gathered}

User Alessandro Santini
by
2.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.