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