Question

The admission fee at a local zoo is
$1.50 for children and
$4.00 for adults. On a certain day,
2200 people enter the zoo and
$4,550.00 is collected. How many children and how many adults attended?

Answer 1

c+a = 2200
1.50c + 4.00a = 4550.00

Answer 2

c = children

a = adults


2200 people enter the zoo mean :

c + a = 2200


$4,550.00 is collected mean :

1.5 c + 4 a = 4550


Now you must solve system:

c + a = 2200

1.5 c + 4 a = 4550



c + a = 2200 Subtract c to both sides

c + a - c = 2200 - c

a = 2200 - c


1.5 c + 4 a = 4550

1.5 c + 4 ( 2200 - c ) = 4550

1.5 * c + 4 * 2200 - 4 c = 4550

1.5 * c + 8800 - 4 c = 4550

- 2.5 c + 8800 = 4550 Subtract 8800 to both sides

- 2.5 c + 8800 - 8800 = 4550 - 8800

- 2.5 c = - 4250 Divide both sides by - 2.5

c = - 4250 / - 2.5

c = 1700


a = 2200 - c = 2200 - 1700 = 500


1700 children and 500 adults


Proof :

c + a = 1700 = 2200

$ 1.5 * c + $ 4 * a =

$ 1.5 * 1700 + $ 4 * 500 =

$ 2550 + $ 2000 = $ 4550

Answer 3

Thank you.