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Question 1104: The A-One Shoe Store has in its inventory three times more pairs of sneakers than it has pairs of boots, and at least ten more pairs of sandals than it has pairs of boots. If there are 28 pairs of sandals in the inventory, what is the greatest possible number of pairs of sneakers in the inventory?
Answer by khwang(438)   (Show Source):
You can put this solution on YOUR website! Assume there are x pairs of boots in the inventory.
Since there are at least ten more pairs of sandals
than it has pairs of boots, we have
number of pair of sandals >= x+10.
Now there are 28 pairs of sandals = 28, so 28 >= x+10 and we have
18 >= x.
Next, we know number of sneakeers (3 times more than x) = 3x + x = 4x,
Hence 4x <= 4*18 = 72.
and the greatest possible number of pairs of sneakers in the inventory
is 72.
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