12. Nazia loves to watch movies. She goes to the
movie hall twice a day, in the morning and in the
evening. The cost of a morning show is 75 and
that of an evening show is 100. If Nazia watched
a total of 12 movies and spent 1075/-, then the
number of evening movie tickets bought by Nazia
is
(1) 7
(2) 5
(3) 12
(4) 2
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Given:
The cost of morning show = 75/-
The cost of evening show = 100/-
Total number of movies = 12
Total amount spent = 1075/-
To find:
The number of evening movie tickets bought by Nazia
Calculation:
Let the number of morning shows be ‘x’ , the number of evening shows be ‘y’
Total number of movies = 12
=> x+y = 12 ……(1)
Total amount spent = 1075/-
=> 75x + 100y = 1075
75x + 100(12-x) = 1075 [from eq(1)]
75x + 1200 - 100x = 1075
-25x = -125
x = 5
Substitute the value of x in eq(1)
=> x+y = 12
5+y = 12
y = 7
The number of evening movie tickets bought by Nazia are 7 [option(1)]
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