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Linear Applications

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?

Adult Tickets: 125

Student Tickets: 50

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?

True/False Questions: 15

Multiple Choice Questions: 5

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?

Adult Tickets Cost $8

Student Tickets Cost $4

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.

Tailwind

Headwind

Time

2

2.5

Rate

(X+Y)

(X-Y)

Distance

1200

1200

Plane Speed is 540 m.p.h

Wind Speed is 60 m.p.h

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