a customer buys 4 hot dogs and 5 bags of potato chips for $12 another customer buys 3 hot dog and 4 chips for $9.25. find the cost of each item ,
 anonymous
a customer buys 4 hot dogs and 5 bags of potato chips for $12 another customer buys 3 hot dog and 4 chips for $9.25. find the cost of each item ,
 Stacey Warren  Expert brainly.com
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 anonymous
let x=number of hot dogs, y=number of bags of potato chips.
4x+5y=12,
3x+4y=9.25.
solve these equations simultaneously :)
 anonymous
lets say one hot dog costs x dollars
lets say one bag of potato chips costs y dollars.
4 hot dogs cost 4x dollars.
5 bags of chips cost 5y dollars. 4 hot dogs and 5 bags of chips together cost 12 dollars.
so, 4x+5y = 12.
similarly get the other part in the form of an equation too and solve it for x and y
 radar
better assignment of the variables. Letting x = cost, rather than number of dogs and chips. That is already known.
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 anonymous
the answer was given each hot dog cause $1.75 and each bag of chips cause $1 each i want to know ow there got this answer
 anonymous
how they got that answer
 anonymous
It has already been explained to you. do you know how to solve two simultaneous equations?
 anonymous
my teacher want us to explain how he got that answer
 anonymous
no i dont
 anonymous
so you dont know how to solve
x+y = 5
xy = 1
for x and y?
 anonymous
i do,
 anonymous
then what is the problem? those are simultaneous equations.
 anonymous
i just want to know how he got $1.75 for the hot dog and $1 for the chips
 anonymous
refer to what I said earlier.
lets say one hot dog costs x dollars. how much will 4 hot dogs cost?
 anonymous
4
 anonymous
please help me dont get frustrated with me, i
 anonymous
4 dollars
 anonymous
say one hot dog costs 2 dollars. how much will 4 hot dogs cost?
 anonymous
times 2 by 4
 anonymous
ok good. so if one hot dog costs x dollars, how much will 4 hot dogs cost?
 anonymous
a $ 1
 anonymous
what?
 anonymous
sorry
 anonymous
i am so confuse
 anonymous
if u can please explain to me then we find the solution later i will be so happy, is soon due
 anonymous
answer the question. you dont know how much each hot dog costs. So lets say we assign the variable x to the cost of each hot dog.
so one hot dog costs x amount of dollars.
suppose you went to the store and purchased one hot dog for x amount of dollars, how much would you have to pay to buy 2 hot dogs?
 anonymous
x dollar
 anonymous
are you sure? that is the cost of one hot dog. what is the cost of 2 hot dogs?
 anonymous
you gave x dollars to purchase one hot dog. you have to give another x dollars to purchase one more hot dog. Is that correct or not?
 anonymous
is correct
 anonymous
okay so to purchase 2 hot dogs, you gave x dollars + another x dollars.
so that is 2 times x dollars. Is that correct or not?
 anonymous
correct
 anonymous
so how many x dollars do you need to give to purchase 4 hot dogs?
 anonymous
2x
 anonymous
oh sorry 4X
 anonymous
okay good. so to purchase 4 hot dogs you have to give 4x dollars.
similarly, say one bag of chips costs y dollars. how much does it cost to purchase 5 bags of chips?
 anonymous
5dollars
 anonymous
can you please help me with another problem
 anonymous
didn't I just explain this to you?
you purchase one bag of chips for y dollars. you have to give another y dollars to purchase one more bag of chips. so how many dollars do you have to give to purchase 5 bags?
 anonymous
thanks for this one, i have another i need help
 anonymous
I have a good piece of advice for you. Do not take math as a major course.
 anonymous
a university theater sold 556 tickets for a play, tickets cost $22 per adult tickets and $ 12 for senior citizen ticket, if the total receipt was 8492, how many senior citizen ticket were sold
 anonymous
i know rite, i am just talking this because i need it to graduate, i dont like math, i am more a science student
 anonymous
I hope you are not a physics student then :)
 anonymous
let say there are a certain number of adult tickets and a certain number of senior citizen tickets.
let us say there are A number of adult tickets and S number of senior citizen tickets.
 anonymous
total number of tickets is 556. so A+S =556.
each adult ticket costs 22 dollars. so A number of adult tickets cost 22 times A amount of dollars.
each senior citizen ticket costs 12 dollars. so S number of senior citizen tickets cost 12 times S amount of dollars.
so, 22A+12S =8492.
so you have two equations.
A+S =556
22A +12S =8492.
solve to get S and A
 anonymous
i am a nursing student
 anonymous
so you time 22*12?
 anonymous
why would you do that?
 anonymous
i was trying to use the multiplication sign
 anonymous
I thought you knew how to solve simultaneous equations
 anonymous
oh.. okay. there is a button for equations here:


v
 anonymous
because you said 22A PLUS 12S = 8492
 anonymous
yes, thats right. but why are you multiplying 12 and 22?
 anonymous
http://www.youtube.com/watch?v=XM7Q4Oj5OTc
go through that video and all the other videos in the related videos section. there are many examples
 anonymous
ok thanks
 anonymous
so when we add A+S IT WILL BE 34, ARE WE DIVIDING IT WITH ANYTHING
 anonymous
why is A+S = 34?
don't you remember what we assigned the variable A to? A is the NUMBER of adult tickets, NOT the price of each adult ticket. we already know the price is 22.
 anonymous
READ what I posted PROPERLY instead of asking these silly questions. This is starting to get frustrating for me. I have been patiently explaining all this to you.
 anonymous
SORRY AND THANKS FOR UR HELP U HAVE BEEN REALLY PATIANT WITH ME TODAY I REALLY APPRACIATE IT
 anonymous
you are welcome. :) think about these things logically. put yourself in the position of the problem and see what you would do in that situation. what if you were the manager of the theater and you had 556 tickets? what if you made 8492 dollars. How many adult tickets did you sell at 22 dollars per ticket and so on.
 anonymous
THIS IS WHAT I CAME OUT WITH
LET ME SAY X FOR ADULT
Y FOR S.CITIZEN
 anonymous
X+Y= 556 RIGHT
 anonymous
I saw radar already gave you the answer. save yourself the trouble.
 anonymous
I JUST WANTED TO KNOW IF I AM RIGHT RIGHT
 anonymous
okay, post what you got then
 anonymous
I GOT 372
 anonymous
372 for what?
 anonymous
372 ADULT TICKETS SOLD
 anonymous
372 is wrong. it should be 374
 anonymous
OH ARE U SERIOUS
 anonymous
NOW I KNOW WHERE I MADE THE MISTAKE
 anonymous
THANKS FOR PIONTING THAT OUT FOR ME
 anonymous
no problem.
http://www.analyzemath.com/Calculators/Calculator_syst_eq.html
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