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Admission to the zoo is $6 for children and $9 for adults. On a certain day, 1480 people go to the zoo and $10,500 is collected.

How many children and adults went to the zoo?

Verified Answer :

alexsafayan

6x+9y = 10500

x+y = 1480

 
Using elimination I get:

6x + 9y = 10500
-6x-6y = -8880

Add the 2 equations and I get 3y = 1620


Divide both sides by 3 and I get y = 540

 Substitute that back in to 6x+9y = 10500.

 I get that 6x+9540 = 10500

9 540 = 4860

 Subtract 4860 from both sides and I get 6x = 5640

 Divide both sides by 6 and I get x = 940

 So there must have be 940 children and 540 adults

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