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

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.