Seventy tickets of a theatre show were sold for ₹8000. If the tickets were sold in denominations of ₹125 and ₹75 , how many tickets of each denomination were sold?
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Step-by-step explanation:
the given expression can be expressed in algebraic form as
125x+75y=8000. (1)
where x gives us no of 125 denominations and y gives us the number of 75 denominations
now also it is given that total no of tickets sold=70
hence
x+y=70. (2)
solving (1) and (2) by linear equations.
we get
125x+75y=8000
- x+y=70
multiplying eq 2 by 75 and subtracting it from eq1 we get
125x+75y=8000
-75x-75y=-4900
==50x=3100
hence x=62
substituting x=62 in eq 2 we get y=8
hence no of 125 denominations is 62
and no of y denominations is 8
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