Question

The price of a theater ticket is $ 9 dollars for adults and $ 4.9 dollars for children under 12 years of age. If the theater sold 160 tickets on Sunday afternoon and the money raised was $ 1066.9, then how many children attended?

a. None of the answers

b. 69

c. 93

d. 92

e. 70

Answer 1

Let number of Adult tickets sold be x

number of children tickets sold be y

Adult ticket costs $9 , children ticket costs $ 4.9, Total collected $1066.9,

9x+4.9y= 1066.9......eq 1

Total number of tickets sold = 160 so

x+y=160, Multiply eq by 4.9, we get 4.9x+4.9y=784, subtract it from eq 1

9x+4.9y=1066.9
-4.9x-4.9y=-784
we get,
4.1x = 282.9
x=69
x+y=160, x=69, y=91
No of Adult tickets sold = 69, No of children tickets sold = 91

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