Question

The admission fee at a zoo is $2 for children and $4 for adults. If 1800 people enter the zoo and $6000 is collected, how many adults went to the zoo?

Answer 1

Answer:

The number of adults is $1,200$

Step-by-step explanation:

Let

x------> the number of children

y------> the number of adults

we know that

$x+y=1800$ -------> equation A

$2x+4y=6000$ -------> equation B

Multiply equation A by $-2$

$-2(x+y)=-2*1800$ --------> $-2x-2y=-3600$ ------> equation C

Adds equation B and equation C

$2x+4y=6000\\-2x-2y=-3600\\---------\\4y-2y=6000-3600\\2y=2400\\y=2400/2\\y=1200$

Answer 2

x= adult, y = kid

x+y=1800

4x+2y=6000

x=1800-y now put that into the 2nd equation

4(1800-y)+2y=6000

7200-4y+2y=6000

4y-2y=7200-6000

2y=1200

y=600

x=1800-600 = 1200

 so 1200 adults and 600 kids