Ticket rate for the science exhibition is 10 rupees for a child and 26 rupees for an adult. 740 rupees was got from 50 persons. How many children among them?
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Total number of tickets sold = 50
Let the number of children = x
Number of Adults = 50 - x
Amount from x children at} = 10 x
the rate of 10 rupees }
amount from 50 - x adults at the rate of 26 rupees = 26 (50-x)=1300-26×
since the total is 740, 10x + 1300 - 26x = 740
adding 26x on both sides,
10x + 1300 - 26x = 740 + 26x
10x + 1300 =740+26x
subtracting 10x from both sides,
10 × 1300 - 740 + 26x - 10x
1300 = 740 + 16x, 16x + 740 = 1300
16x = 1300 - 740 = 560
x = 560 ÷ 16 = 35
Number of childrens = 35
Number of Adults = 50 - 35 = 15
Hope it hepls you
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