the fare of bus ticket from place a to b is rs10. the bus comductor sells 10 ticket during one trip. draw a linear grapgh
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Let number of passengers having ticket worth Rs.3 be x
So, total cost of x tickets = 3x
Let number of passengers having ticket worth Rs.10 be y
So, total cost of y tickets = 10y
Since we are given that there are 40 passengers in bus.
So, x+y=40x+y=40 -1
We are also given that the total collection from these passengers is rs.295.
So, 3x+10y= 2953x+10y=295 --2
Substitute the value of x from 1 in 2
So,3(40-y)+10y= 2953(40−y)+10y=295
120-3y+10y= 295120−3y+10y=295
120+7y= 295120+7y=295
7y= 1757y=175
y= 25y=25
Substitute the value of y in 1
x+25=40x+25=40
x=15x=15
So, 15 passengers have tickets worth rs.3
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