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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?

Respuesta :

musiclover10045

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

calculista

Answer:

The number of adults is [tex]1,200[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]x+y=1800[/tex] -------> equation A

[tex]2x+4y=6000[/tex] -------> equation B

Multiply equation A by [tex]-2[/tex]

[tex]-2(x+y)=-2*1800[/tex] --------> [tex]-2x-2y=-3600[/tex] ------> equation C

Adds equation B and equation C

[tex]2x+4y=6000\\-2x-2y=-3600\\---------\\4y-2y=6000-3600\\2y=2400\\y=2400/2\\y=1200[/tex]

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