Advance tickets for a school play went on sale. The price of each student ticket was $4 and everyone else paid $5. On the first day, no more than $80 in tickets were sold. Describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to nonstudents.
Answer:
Sample Answer: Partial and negative tickets cannot be sold, so the minimum number values of e and s are 0. If s = 0, then e = 16, and if e = 0, then s = 20. Therefore, the values of s are whole numbers from 0 to 20 and the values of e are whole numbers between 0 and 16. The greatest number of student tickets sold was 20 and the greatest number of non-student tickets sold was 16.
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The possible values of students tickets and other tickets are:
\(s=(0 \;\text{to}\; 20) \;\text{and} \;\\e=(0 \;\text{to}\;16)\)
Step-by-step explanation:
Given information:
The price of each student tickets was $4
The price for everyone else was $5
The number of tickets sold for students is \(s\)
And \(e\) for everyone else:
Hence , the maximum possible value for students tickets when everyone else is zero
Hence, \(s=20\) and \(e=0\)
Similarly, for,
\(s=0\) the value of \(e=16\)
Hence , the possible values of students tickets and other tickets are:
\(s=(0 \;\text{to}\; 20) \;\text{and} \;\\e=(0 \;\text{to}\;16)\)
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