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<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span style="line-height:150%"><span style="font-family:宋体">解：设小宏能买x瓶甲饮料，则可以买（10﹣x）瓶乙饮料，由题意得：</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span lang="EN-US" style="line-height:150%"><span style="font-family:宋体">7x+4</span></span><span style="line-height:150%"><span style="font-family:宋体">（10﹣x）≤50，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span style="line-height:150%"><span style="font-family:宋体">解得：x≤</span></span></span></span></span><img height="35" src="/uploads/meth/20210106/fb72446f312c24c0463d39a76e670c3d.png" width="21" /><span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span style="line-height:150%"><span style="font-family:宋体">，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span style="line-height:150%"><span style="font-family:宋体">∵x为整数，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span style="line-height:150%"><span style="font-family:宋体">∴x=0，1，2，3，</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span style="line-height:150%"><span style="font-family:宋体">则小宏最多能买3瓶甲饮料．</span></span></span></span></span><br />
<span style="font-size:10.5pt"><span style="line-height:150%"><span style="font-family:Calibri,sans-serif"><span style="line-height:150%"><span style="font-family:宋体">故答案为：3．</span></span></span></span></span>

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