$35 \cdot 28$ A large bag contains coins of denominations 1 cent, 1 dime, and 25 cents. The number of 1 dime coins is twice the number of 1 cent coins, and the number of 25 cent coins is three times the number of 1 dime coins. In this bag, the total amount of money (in cents) could be
(A) 306 .
(B) 333 .
(C) 342 .
(D) 348 .
(E) 360 .
(36th American High School Mathematics Examination, 1985)
[Solution] Let the number of 1-fen coins be $x$. According to the problem, the number of 1-jiao and 2-jiao 5-fen coins are $2x$ and $6x$ respectively. Thus, the total value of the coins is
$$
s=x+10 \cdot 2 x+25 \cdot 6 x=171 x \text{, }
$$

When $x=2$, $s=342$.
Therefore, the answer is $(C)$.