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Linear Applications

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**Your school just had their first school play for the year**

Your school just had their first school play for the year. Student tickets were $5 and adult tickets were $8. The drama club sold a total of 175 tickets and made $1250. How many of each ticket were sold?

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Adult Tickets: 125 Student Tickets: 50

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**A test has twenty questions worth 100 points**

A test has twenty questions worth 100 points. The test consists of true/false questions worth 3 points each and multiple choice questions worth 11 points each. How many true/false and multiple choice questions are on the test?

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**True/False Questions: 15**

Multiple Choice Questions: 5

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The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for a adult and student ticket?

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Adult Tickets Cost $8 Student Tickets Cost $4

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**A plane flies 1200 mi. from Orlando to New York in 2 hr**

A plane flies 1200 mi. from Orlando to New York in 2 hr. with a tailwind. The return flight against the same wind takes 2.5 hr. Find the speed of the plane in still air and the speed of the wind.

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**Plane Speed is 540 m.p.h Wind Speed is 60 m.p.h Time Rate Distance**

Tailwind 2 (X+Y) 1200 Headwind 2.5 (X-Y) Plane Speed is 540 m.p.h Wind Speed is 60 m.p.h

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7-4 Applications of Linear Systems. # of Coins: 12 coins total, adding quarters and dimes together Q + D = 12 Value of Coins: Have $1.95 total Quarters.

7-4 Applications of Linear Systems. # of Coins: 12 coins total, adding quarters and dimes together Q + D = 12 Value of Coins: Have $1.95 total Quarters.

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