Question

A zoo in oklahoma charged $22 for adults and $15 for children. During a summer day, 732 zoo tickets were sold, and the total receipts were $12,912. How many child and how many adult tickets were sold?

Answer 1

Answer: Cost of tickets for adults = $22

Cost of tickets for children = $15

Total number of tickets sold = 732

Total receipts = $12,912

Let x be number of adult ticket's sold and y be the number of child ticket's sold.

Therefore, we have:

`x+y=732` --------------- equation 1

`x=732-y`

Also, we have:

`22 x+15y=12,912`

Now, let's substitute the value of x:

`22 (732-y)+15y=12912`

`16104-22y+15y=12912`

`16104-7y=12912`

`7y=16104-12912`

`7y=3192`

`y=(3192)/(7) =456`

Now, let's substitute the value of y=456 in equation 1, we have:

`x+456=732`

`x=732-456`

`x=276`

Therefore, the number of child ticket's sold is 456 and number of adult ticket's sold is 276