Question

A zoo charges admission of $4.75 for adults and $2.75 for children. A group of 12 people paid for admission with a $50- dollar bill. If the group received at least $9.00 in change, what is the maximum number of adults in the group ?

PLEASE HELP !!!

Answer 1

Are there any answer choices?

Answer 2

No

Answer 3

hmm okay. do you have anything so far?

Answer 4

Uh- no

Answer 5

Okay - I'll try to help and explain.

Answer 6

I didn't really understand the question that well.

Answer 7

Okay so these 12 people give a $50 bill and got $9.00 back in change. So that means the price of all their tickets would have to be $41.00, right?

Answer 8

Yeah

Answer 9

this can be represented as
2.75x+4.75y=41
x+y=12
Where x is the children and y is the adults

Answer 10

^yep

Answer 11

This is a system of equations and can be solved as such
How could you solve this?

Answer 12

I'm not sure but how about subtracting 2.75 from 4.75 which would give me 2.00 then divide it by 41 @Brill

Answer 13

Well... you can't subtract them because they are not like terms...
Are you allowed the use of a calculator?

Answer 14

what Mathematics class is this for? are you allowed to use calc

Answer 15

A calculator would make this easier, more specifically a graphing calculator

Answer 16

youy can use the substitution method to solve this
from the 2nd eqaution y = 12-x
Plug this in for y in first equation and solve for x.

Answer 17

But if are not allowed to use a calculator you can solve this through substitution,
By manipulating x+y=12
You can see that y=12-x
So substitute 12-x for y in the first equation getting

2.75x+4.75(12-x)=41

Answer 18

then you can find y which will equal 12 - x

Answer 19

\[2.75x+57-4.75x=41\]

Answer 20

yes

Answer 21

can you continue?

Answer 22

add like terms on left side

Answer 23

Wait- do I combine -4.75 and 2.75

Answer 24

yes

Answer 25

I did that and i got 7.5

Answer 26

So now I have 7.5x+57=41

Answer 27

no
the answer must be negative because 4.75 is greater than 2.75