SOLUTION: The Blakes went to an ice cream place where a small cone costs $1.85, a medium cone costs $2.35, a large cone costs $2.75. There are 5 people in the Blake family and each person or

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Question 677866: The Blakes went to an ice cream place where a small cone costs $1.85, a medium cone costs $2.35, a large cone costs $2.75. There are 5 people in the Blake family and each person ordered one cone. If they spent a total of $11.65, how many medium cones did they buy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
they could not have all ordered large cones
since that adds up to +2.75%2A5+=+13.75+
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There can't be 4 large cones since that adds
up to +2.75%2A4+=+11+ and that would only
leave 65 cents for the 5th cone
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Can there be 3 large cones and 2 mediums?
+2.75%2A3+%2B+2.35%2A2+=+8.25+%2B+4.7+
+8.25+%2B+4.7+=+12.95+ No, that's too much
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Can there be 3 large, 1 medium and 1 small?
+2.75%2A3+%2B+1%2A2.35+%2B+1%2A1.85+=+8.25+%2B+2.35+%2B+1.85+
+8.25+%2B+2.35+%2B+1.85+=+12.45+ Still too much
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Can there be 3 large and 2 small?
+2.75%2A3+%2B+1.85%2A2+=+8.25+%2B+3.7+
+8.25+%2B+3.7+=+11.95+ Too much
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That means there can be at most 2 large cones
Can there be 2 large and 3 mediums?
+2.75%2A2+%2B+2.35%2A3+=+5.5+%2B+7.05+
+5.5+%2B+7.05+=+12.55+ Too much
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Can there be 2 large and 3 small?
+5.5+%2B+3%2A1.85+=+5.5+%2B+5.55+
+5.5+%2B+5.55+=+11.05+ Too low
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Can there be 2 large, 2 small and 1 medium?
+5.5+%2B+3.7+%2B+2.35+=+11.55+ Too small
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Can there be 2 large, 2 medium, and 1 small?
+5.5+%2B+4.7+%2B+1.85+=+12.05+ Too much
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It looks like there can only be 1 large
Can there be 1 large and 4 mediums?
+2.75+%2B+4%2A2.35+=+2.75+%2B+9.4+
+2.75+%2B+9.4+=+12.15+ Too much
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Can there be 1 large, 3 medium, 1 small?
+2.75+%2B+3%2A2.35+%2B+1.85+=+2.75+%2B+7.05+%2B+1.85+
++2.75+%2B+7.05+%2B+1.85+=+11.65+
They bought 3 medium cones