注册领资料
Joanna bought only $0.15 stamps and $0.29 stamps. How many $0.15 stamps did she buy?
(1) She bought $4.40 worth of stamps.
(2) She bought an equal number of $0.15 stamps and $0.29 stamps.
A.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D.EACH statement ALONE is sufficient.
E.Statements (1) and (2) TOGETHER are NOT sufficient.
【申友解析】
正确答案:A
J买了价值分别为0.15美元和0.29美元的邮票,问价值0.15美元的邮票她买了多少张?
设0.15美元的邮票x张,0.29美元的邮票y张。
那么条件一可以推出:0.15x+0.29y=4.4 且x、y为整数。15x+29y=440。因为15x的末尾一定是5或0,所以29y的末尾也只能是0或5,所以y一定是5的倍数。
当y=0时,x=88/3,不符合题意;
当y=5时,x=59/3,不符合题意;
当y=10时,x=10,正确;
当y=15时,x=1/3,不符合题意。
综上所述,当0.15x+0.29y=4.4 且x、y为整数时,x、y只能求出一种解,所以条件一充分
根据条件二可得,x=y,不充分
所以选A
在计算x值,也可以通过判断15x的值是否为3或5的倍数,来判断x能否取整
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