Colored balls

There are colored balls in the bag. One-third of them are blue, one-sixth are green, five-twelfths are yellow, and the remaining ten balls are red. How many yellow balls are in the bag?

Correct answer:

x =  50

Step-by-step explanation:

$$\begin{gathered} \frac{n}{3}+\frac{n}{6}+\frac{5}{12}\cdot n+10=n \\ n/3+n/6+5/12\cdot n+10=n \\ n=120 \\ n=\frac{120}{1}=120 \\ n=120 \\ x=\frac{5}{12}\cdot n=\frac{5}{12}\cdot 120=\frac{5\cdot 120}{12}=\frac{600}{12}=50 \end{gathered}$$

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