SOLUTION: Each week I have $11 to spend on coffee. I require 10 cups of coffee a week to survive. Sometimes I drink Starbucks, but mostly have to brew a K-cup to stay within my budget. Starb

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Each week I have $11 to spend on coffee. I require 10 cups of coffee a week to survive. Sometimes I drink Starbucks, but mostly have to brew a K-cup to stay within my budget. Starb      Log On

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Question 1102908: Each week I have $11 to spend on coffee. I require 10 cups of coffee a week to survive. Sometimes I drink Starbucks, but mostly have to brew a K-cup to stay within my budget. Starbucks costs $2 per cup and K-cups cost $0.50 each. How many times can I have have Starbucks in one week but still stay within my budget and make sure I get my 10 cups per week?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of cups of
starbucks coffee in 1 week
+10+-+x+ = number of K-cups
of coffee in 1 week
--------------------------------
+2x+%2B+.5%2A%28+10+-+x+%29+=+11+
+2x+%2B+5+-+.5x+=+11+
+1.5x+=+6+
+x+=+4+
You can have 4 cups of Starbucks coffee
in 1 week
----------------------
check:
+2%2A4+%2B+.5%2A6+=+11+
+8+%2B+3+=+11+
+11+=+11+
OK