SOLUTION: Julia and her children went into a movie theater and where they sell drinks for $5.50 each and pretzels for $4 each. Julia has $90 to spend and must buy at least 18 drinks and pret

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Julia and her children went into a movie theater and where they sell drinks for $5.50 each and pretzels for $4 each. Julia has $90 to spend and must buy at least 18 drinks and pret      Log On


   



Question 1153715: Julia and her children went into a movie theater and where they sell drinks for $5.50 each and pretzels for $4 each. Julia has $90 to spend and must buy at least 18 drinks and pretzels altogether. If Julia decided to buy 5 drinks, determine the maximum number of pretzels that she could buy. If there are no possible solutions, submit an empty answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of drinks she buys
Let +b+ = number of pretzels she buys
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+5.5a+%2B+4b+%3C=+90+
+a+%2B+b+%3E=+18+
+a+=+5+
+5+%2B+b+%3E=+18+
+b+%3E=+13+
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+5.5%2A5+%2B+4b+%3C=+90+
+27.5+%2B+4b+%3C=+90+
+4b+%3C=+62.5+
+b+%3C=+15.625+
you can't have part of a pretzel, so
the maximum number of pretzels
is 15
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get a 2nd opinion if needed