SOLUTION: Mrs. De Guzman gave her class sandwiches and cupcakes in a ratio of 5:1. If the number of students in her class is between 18 and 30 , how many students received sandwiches if ea

Algebra ->  Proportions  -> Lessons -> SOLUTION: Mrs. De Guzman gave her class sandwiches and cupcakes in a ratio of 5:1. If the number of students in her class is between 18 and 30 , how many students received sandwiches if ea      Log On


   

Question 1158653: Mrs. De Guzman gave her class sandwiches and cupcakes in a ratio of 5:1. If the number of students in her class is between 18 and 30
, how many students received sandwiches if each student received either sandwich or cupcake but not both?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What numbers whose sum is between
18 and 30 are in that exact ratio?
+%28+6%2F6+%29%2A%28+5%2F1+%29+=+30%2F6+
+30+%2B+6+=+36+ doesn't work
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+%28+5%2F5+%29%2A%28+5%2F1+%29+=+25%2F5+
+25+%2B+5+=+30+ this would work
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+%28+4%2F4%29%2A%28+5%2F1+%29+=+20%2F4+
+20+%2B+4+=+24+ this would work
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+%28+3%2F3+%29%2A%28+5%2F1+%29+=+15%2F3+
+15+%2B+3+=+18+ this would work
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+2%2F2+%29%2A%28+5%2F1+%29+=+10%2F2+
+10+%2B+2+=+12+ doesn't work
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There are 3 possible answers
(1)
25 sandwiches
5 cupcakes
If there are 30 students
(2)
20 sandwiches
4 cupcakes
If there are 24 students
(3)
15 sandwiches
3 cupcakes
If there are 18 students
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Any other number of students will
not make the exact 5:1 ratio possible