The Jurassic zoo charges $6 for each adult admission and $4 for each child. The total bill for 244 people is $1078. He many adults and how many children went to the zoo

Respuesta :

Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244  ---------------(I)

   a = 244 - c ----------(II)

Cost for 244 people =  $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

         -2c = 1078 - 1464

        -2c = -386

           c =  -386/-2

c = 193

a = 244 - 193

a = 51