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?

Algebra ->  Customizable Word Problem Solvers  -> Finance -> 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?       Log On

 -  = 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.