Merle's spare change jar has exactly 16 U.S. coins, each of which is a 1-cent coin, a 5-cent coin, a 10-cent coin, a 25-cent coin or a 50-cent coin. If the total value of the coins in the jar is 288 U.S. cents, how many 1-cent coins are in the jar?
(1)The exact numbers of 10-cent, 25-cent, and 50-cent coins among the 16 coins in the jar are, respectively, 6, 5, and 2.
(2)Among the 16 coins in the jar there are twice as many 10-cent coins as 1-cent coins.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
看到尾数8,表示1 cent必从3起跳,且一定是3+5k
条件2表示 1 cent 和 5 cent 的硬币数量一样多,从1 cent 最小的可能数字开始代3,可以得出唯一解 1cent的数量就是3,因为再往上代8就无法满足题目的等式
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