anonymous
  • anonymous
"ella took her boyfriend to a pizza store and spent 24.50 on 2 buffets and 2 hours of gaming. the next night she took her parents, buying 3 buffets and 4 hours of gaming and spend 37. 25. what is the cost of a buffet meal?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
x = buffet y = gaming 2x + 2y = 24.50 || 4x + 4y = 49 3x + 4y = 37.25 || 3x + 4y = 37.25 x = 11.75
anonymous
  • anonymous
how did you do that?!
anonymous
  • anonymous
2x + 2y = 24.50 multiple by 2 = 4x + 4y = 49 3x + 4y = 37.25 multiple by 1 = 3x + 4y = 37.25 then 4x + 4y = 49 3x + 4y = 37.25 --------------- - x + 0 = 11.75 x = 11.75

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anonymous
  • anonymous
why did you multiply by 2 on the first one?
anonymous
  • anonymous
to eliminate y because we juast need x
anonymous
  • anonymous
ohhhh okay could you help me with another story problem?
anonymous
  • anonymous
ok let me try it
anonymous
  • anonymous
a movie is ocming to theathers and they are selling adult tickets for 10.50 and childrens tickers for 5.50. the theather sold 500 tickets opening night and made 4,700 dollars in sales. how many children attended the opening night?
anonymous
  • anonymous
x = adult y = children x+y = 500 10.50x + 5.50y = 4700 because u need to find y, u have to eliminate x, can u do this?
anonymous
  • anonymous
for the first equasion do i need to times everything by 10.50
anonymous
  • anonymous
is the answer 50 kids?
anonymous
  • anonymous
is the answer 50 kids?
anonymous
  • anonymous
x+y = 500 | x 10.50| 10.50x + 10.50y = 5250 10.50x + 5.50y = 4700 |x1| 10.50x + 5.50y = 4700 -------------------- - 5y = 550 y = 110
anonymous
  • anonymous
byt what about the first y?????
anonymous
  • anonymous
y = children ticket
anonymous
  • anonymous
hmm, are u got it?
anonymous
  • anonymous
i dont get it at all...
anonymous
  • anonymous
which part u dont understand?
anonymous
  • anonymous
all of it.
anonymous
  • anonymous
ok a movie is coming to theathers and they are selling adult tickets for 10.50 and childrens tickers for 5.50. the theather sold 500 tickets opening night and made 4,700 dollars in sales. how many children attended the opening night? 1st step to solve that kind of problem is choose a decision variable
anonymous
  • anonymous
let x = # adult ticket and y = # children ticket then we have a constraint: 1. theatre capacity is 500 ticket so, x+y = 500 2. ticket prices for adult = 10.50 and children = 5.50 so , 10.50x + 5.50y = 4700 until this can u understand?
anonymous
  • anonymous
yes, im jsut not understanding thennext part, like how you get the 2 equasions.
anonymous
  • anonymous
yes, im jsut not understanding thennext part, like how you get the 2 equasions.
anonymous
  • anonymous
yes, im jsut not understanding thennext part, like how you get the 2 equasions.
anonymous
  • anonymous
theather capacity is 500 ticket so, we have to divide that theather for adult(x) and children (y) x+y = 500 ---> number of adult + number of children must be equal to 500
anonymous
  • anonymous
ohh okay
anonymous
  • anonymous
if i helped u can u give me medal or become my fans :D
anonymous
  • anonymous
yeah i will!

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