SOLUTION: A woman bought a number of items for $36. She realized that if she had bought 15 more items for the same money, she would have paid $10 less per item. How many items did she buy?

Question 1150418: A woman bought a number of items for $36. She realized that if she had bought 15 more items for the same money, she would have paid $10 less per item. How many items did she buy?

Answer by ikleyn(52750) (Show Source): You can put this solution on YOUR website!
.

Standard mantra for price per unit . . .


 -  = 10


36*(n+15) - 36n = 10n*(n+15)


36n + 540 - 36n = 10n^2 + 150n


10n^2 + 150n - 540 = 0


n^2 +  15n  - 54 = 0


(n-3)*(n+18) = 0


Only positive root  n = 3  makes sense.


ANSWER.  3 items.

Solved.

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