SOLUTION: A certain bakery produces only chocolate and vanilla cupcakes. If the bakery sells 160 cupcakes per day, and 26 more chocolate cupcakes than vanilla cupcakes are sold per day, how

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A certain bakery produces only chocolate and vanilla cupcakes. If the bakery sells 160 cupcakes per day, and 26 more chocolate cupcakes than vanilla cupcakes are sold per day, how       Log On


   



Question 1084982: A certain bakery produces only chocolate and vanilla cupcakes. If the bakery sells 160 cupcakes per day, and 26 more chocolate cupcakes than vanilla cupcakes are sold per day, how many chocolates cupcakes does the bakery sell per day?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can let +x+ = the number of
vanilla cupcakes/day sold
Then, +x+%2B+26+ = the number of
chocolate cupcakes/day sold
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Now you can say:
+x+%2B+x+%2B+26+=+160+
+2x+%2B+26+=+160+
+2x+=+134+
+x+=+67+
and, now:
+x+%2B+26+=+67+%2B+26+
+x+%2B+26+=+93+
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the number of
chocolate cupcakes/day sold is 93
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check:
+x+%2B+x+%2B+26+=+160+
+67+%2B+67+%2B+26+=+160+
+134+%2B+26+=+160+
+160+=+160+
OK