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 October 8th, 2018, 12:15 PM #1 Senior Member   Joined: Apr 2017 From: New York Posts: 106 Thanks: 6 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 02:17 PM.  October 8th, 2018, 12:49 PM #2 Global Moderator Joined: May 2007 Posts: 6,610 Thanks: 616 Fix typos. As is there is no solution. Thanks from Leonardox  October 8th, 2018, 02:28 PM #3 Global Moderator Joined: Dec 2006 Posts: 19,713 Thanks: 1806 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. Thanks from Leonardox
 October 8th, 2018, 04:01 PM #4 Senior Member   Joined: Apr 2017 From: New York Posts: 106 Thanks: 6 so with fixed typo what is the inequality equation i need to set up?
 October 8th, 2018, 06:03 PM #5 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,302 Thanks: 935 n = number of students over 55 Equation: 65.5 - 2.5n =< 45
 October 9th, 2018, 12:32 AM #6 Global Moderator   Joined: Dec 2006 Posts: 19,713 Thanks: 1806 Rearranging that gives 2.5n $\small\geqslant$ 65.5 - 45 = 20.5.

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