The Jurassic Zoo charges $8 for each adult

admission and $5 for each child. The total bill

for the 160 people from a school trip was

$863. How many adults and how many

children went to the zoo?

21 adults and 139 children

Step-by-step explanation:

x=adult (8$)

y=child (5$)

8x + 5y = 863

x+y=160

-x - x (subtract x on both sides)

y = - x + 160

plug that in for y on the other equation

8x + 5 (-x + 160) = 863

distribute 5 to both

8x + - 5x + 800 = 863

combine both x values

3x + 800 = 863

-800 - 800 (subtract on both sides)

3x = 63

divide by 3 on both sides

x = 21 adults

now plug x in one of the equations

21 + y = 160

-21 - 21

y=139 children