Question

One morning at a zoo, there were 165 adults and children who paid to enter. The zoo collected $1,440 from admission fees. The price of admission is $10 for an adult and $7 for a child. How many children were admitted to the zoo?

Answer 1

number of children admitted to the zoo=70

let adult =a

let children=c

a+c=165........equation 1

10a+7c=1440.......equation 2

a=165-c........equation 3

substitute equation 3 in equation 2

10a+7c=1440

10(165-c)+7c=1440

1650-10c+7c=1440

-10c+7c=-210

-3c=-210

c=70

Therefore children =70