SOLUTION: Samantha wants to purchase a new dress. She can buy it online for 15% off but she will have to pay shipping which is 9.95. She can purchase the same dress at a local store for full

Algebra ->  Inequalities -> SOLUTION: Samantha wants to purchase a new dress. She can buy it online for 15% off but she will have to pay shipping which is 9.95. She can purchase the same dress at a local store for full      Log On


   

Question 1104518: Samantha wants to purchase a new dress. She can buy it online for 15% off but she will have to pay shipping which is 9.95. She can purchase the same dress at a local store for full price but not have to pay shipping. What price makes the jacket less expensive to buy online?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = the price which will make
the online deal cheaper
+%28+1+-+.15+%29%2Ap+%2B+9.95+%3C+p+
+.85p+%2B+9.95+%3C+p+
+9.95+%3C+.15p+
I can rewrite this from right to left
without changing it
+.15p+%3E+9.95+
+p+%3E+66.33+
The price in the store of $66.36 makes the
online deal cheaper.
-----------------------------------------
check:
In store:
+p+=66.34+
On line:
+.85p+%2B+9.95+=+.85%2A66.34+%2B+9.95+
+56.39+%2B+9.95+=+66.34+
-----------------------------------
In store:
+p+=+66.35+
on line:
+.85%2A66.35+%2B+9.95+=+56.4+%2B+9.95+
+66.35+
------------------------------------
In store:
+p+=+66.36+
online:
+.85%2A66.36+%2B+9.95+=+56.4+%2B+9.95+
+66.35+
------------------------------------
The store price has to go up to $66.36
( by my calculations ) for the on line
deal to be cheaper