SOLUTION: Sally sue bought m of the items for d dollars. If the price were increased k dollars per item, how many items could sally sue buy for $14?

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Question 1154236: Sally sue bought m of the items for d dollars. If the price were increased k dollars per item, how many items could sally sue buy for $14?
Found 3 solutions by ikleyn, greenestamps, josmiceli:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

The price for one item before = d%2Fm.


The price for one item after = d%2Fm%2Bk.


The number of items to buy for 14 dollars at new price = 14%2F%28d%2Fm%2Bk%29,


More precisely, if this number is integer, then STOP; 

else take the nearest lesser integer number.        ANSWER



Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


d dollars for m items makes the cost in dollars per item d%2Fm.

The increased cost per item is then d%2Fm%2Bk.

The number that can be purchased for $14 is then 14%2F%28d%2Fm%2Bk%29

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
[ number of items bought ] = [ total amount spent ] / [ price / item ]
number of items Sue could buy =
+14+%2F+%28%28+d+%2B+k%2Am+%29%2F+m+%29+
+%28+14m+%29+%2F+%28+d+%2B+k%2Am+%29+
+14+%2F+%28%28+d%2Fm+%2B+k+%29%29+ answer
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check:
suppose
+m+=+9+
+d+=+18+
+k+=+5+
+m+=+9+ items for $18 is $2 / item
If the price is raised to +2+%2B+k+=+7+ / item
With $14 she can buy:
+14+%2F+7+=+2+ items
--------------------------
Use the formula:
+14+%2F+%28+d%2Fm+%2B+k+%29+
+14+%2F+%28+18%2F9+%2B+5+%29+
+14+%2F+7+=+2+ items
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