SOLUTION: At a cafe, 1 tea costs 1.60. It costs the same amount to buy 3 cupcakes and 1 tea as it does to buy 7 cupcakes. What is the price of 3 cupcakes and 2 teas.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: At a cafe, 1 tea costs 1.60. It costs the same amount to buy 3 cupcakes and 1 tea as it does to buy 7 cupcakes. What is the price of 3 cupcakes and 2 teas.      Log On

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Question 990336: At a cafe, 1 tea costs 1.60. It costs the same amount to buy 3 cupcakes and 1 tea as it does to buy 7 cupcakes.
What is the price of 3 cupcakes and 2 teas.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = cost of 1 cupcake
given:
+3x+%2B+1.6+=+7x+
+4x+=+1.6+
+x+=+.4+
and
+3x+=+1.2+
+2%2A1.6+=+3.2+
------------------
+1.2+%2B+3.2+=+4.4+
3 cupcakes and 2 teas cost $4.40
-------------------------------
check:
+3x+%2B+1.6+=+7x+
+1.2+%2B+1.6+=+7%2A.4+
+2.8+=+2.8+
OK