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October 8th, 2018, 01:15 PM   #1
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inequality

Hi everyone. I am working on this question and the equations I set did not work. Any idea?

Here is the word problem on inequality:

High school X is looking into bringing their Physics students on a field trip to Bronx zoo. Tickets for the park normally cost \$65.5 per person. However, if they bring more than 55 students, the park will give \$2.5 discount per ticket for each student above 55 students. What is the minimum number of students that High school X needs to bring so that each student is not spending more than \$45 for their ticket?

Last edited by skipjack; October 8th, 2018 at 03:17 PM.
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October 8th, 2018, 01:49 PM   #2
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Fix typos. As is there is no solution.
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October 8th, 2018, 03:28 PM   #3
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The total discount needs to exceed \$20, so the minimum total discount is \$22.5, which is 9 times \$2.5.

Hence the school must bring a minimum of 64 students.
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October 8th, 2018, 05:01 PM   #4
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so with fixed typo what is the inequality equation i need to set up?
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October 8th, 2018, 07:03 PM   #5
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n = number of students over 55
Equation:
65.5 - 2.5n =< 45
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October 9th, 2018, 01:32 AM   #6
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Rearranging that gives 2.5n $\small\geqslant$ 65.5 - 45 = 20.5.
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