The product of $2,3,5$, and $y$ is equal to its sum. What is the value of $y$ ?
(A) $\frac{1}{3}$
(B) $\frac{10}{31}$
(C) $\frac{10}{29}$
(D) $\frac{3}{10}$
(E) $\frac{10}{3}$
The product of $2,3,5$, and $y$ is equal to its sum. What is the value of $y$ ?
(A) $\frac{1}{3}$
(B) $\frac{10}{31}$
(C) $\frac{10}{29}$
(D) $\frac{3}{10}$
(E) $\frac{10}{3}$

Solution

Since

$$
\begin{aligned}
(2)(3)(5)(y) & =2+3+5+y \\
30 y & =10+y \\
29 y & =10 \\
\text { and } \quad y & =\frac{10}{29}
\end{aligned}
$$

ANSWER: (C)