Algebra

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?

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

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2. c = children

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

Proof :

c + a = 1700 = 2200

\$ 1.5 * c + \$ 4 * a =

\$ 1.5 * 1700 + \$ 4 * 500 =

\$ 2550 + \$ 2000 = \$ 4550

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3. Thank you.

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