Sarah bought 3 first class tickets and 7 coach tickets.
Step-by-step explanation:
Given,
Number of people = 10
Total amount spent on tickets = $4830
Cost of each coach ticket = $270
Cost of each first class ticket = $980
Let,
x be the number of coach tickets
y be the number of first class tickets
According to given statement;
x+y=10 Eqn 1
270x+980y=4830 Eqn 2
Multiplying Eqn 1 by 270
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 710
Putting y=3 in Eqn 1
Sarah bought 3 first class tickets and 7 coach tickets.
Keywords: linear equation, elimination method
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