将426个乒乓球装在三种盒子里。大盒每盒装25个,中盒每盒装20个,小盒每盒装16个。现共装了24盒,求用了多少个大盒?A.1 B.2 C.3 D.4

作者: tihaiku 人气: - 评论: 0
问题 将426个乒乓球装在三种盒子里。大盒每盒装25个,中盒每盒装20个,小盒每盒装16个。现共装了24盒,求用了多少个大盒?
选项 A.1 B.2 C.3 D.4
答案 B
解析 设用了大盒x个、中盒y个,则小盒(24-x-y),)个,由题意可得,25x+20y+16(24-x-y)=426,化简得到,9x+4y=42,由于4y和42是偶数,则9x也是偶数,x是偶数。得出x=2时,y=6;其余情况均不成立,选B。

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