SOLUTION: A store owner makes a bulk item purchase for $2250. She figures if she sells all but 25 of the items, each priced at $1 more than she bought them for, she will break even. How many
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-> SOLUTION: A store owner makes a bulk item purchase for $2250. She figures if she sells all but 25 of the items, each priced at $1 more than she bought them for, she will break even. How many
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Question 1155726: A store owner makes a bulk item purchase for $2250. She figures if she sells all but 25 of the items, each priced at $1 more than she bought them for, she will break even. How many items did she buy? Answer by ikleyn(52798) (Show Source):
Let "n" be the unknown number of items she bought.
Then the number of items she sold is (n-25).
The price she purchased each item was .
The price she sold each item was .
The difference in prices per item is 1 dollar
- = 1.
Solve this equation to find n.
For it, multiply both sides of the equation by n*(n-25); then simplify and reduce the equation to standard form;
then solve it EITHER using the quadratic function OR factoring (on your choice).
ANSWER. n = 250.
CHECK. - = 10 - 9 = 1. ! Correct !
