Question 1188019
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The problem is faulty.  The numbers of packs of each size must be whole numbers, which they are not with the given information.<br>
Let x be the total number of packs.<br>
1/3 of the packs were small:
{{{(1/3)x}}} = number of small packs<br>
The number of medium packs was 1/5 more than the number of small packs -- i.e., 6/5 times as many:
{{{(6/5)(1/3)x = (2/5)x}}} = number of medium packs<br>
The rest of the packs were large:
{{{x - (1/3)x - (2/5)x = (15/15)x-(5/15)x-(6/15)x = (4/15)x}}} = number of large packs<br>
The total cost is then<br>
{{{4((1/3)x)+6((2/5)x)+8((4/15)x) = ((4/3)+(12/5)+(32/15))x = ((20+36+32)/15)x = (88/15)x = 180}}}
{{{(88/15)x=180}}}
{{{88x=2700}}}
{{{x=2700/88}}}<br>
That is not a whole number....<br>