Question

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?

Answer 1

21 adults and 139 children

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