anonymous
  • anonymous
Help me please i only want the answer ill fan u and give u a medal TY Admission to the Pie Eating Contest is $1.50 for children and $4 for adults. On a certain day, 2200 people came to watch and $5050 is collected. How many children and adults attended the Contest? Show ALL work. Let x = number of children Let y = number of adults A. Write 2 equations to model this system: B. Solve the first equation for x (get the x alone on 1 side): 5 points C. Use Substitution to solve the equations and determine how many adults and how many children attended
Mathematics
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
help
anonymous
  • anonymous
Ok
anonymous
  • anonymous
What are you working on I gotta know what type of problem to make

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anonymous
  • anonymous
i need to explain the work and find out Admission to the Pie Eating Contest is $1.50 for children and $4 for adults. On a certain day, 2200 people came to watch and $5050 is collected. How many children and adults attended the Contest? Show ALL work. Let x = number of children Let y = number of adults A. Write 2 equations to model this system: B. Solve the first equation for x (get the x alone on 1 side): 5 points C. Use Substitution to solve the equations and determine how many adults and how many children attended
anonymous
  • anonymous
@Michele_Laino
Michele_Laino
  • Michele_Laino
your problem can be modeled by the subsequent system: \[\left\{ {\begin{array}{*{20}{c}} {1.5x + 4y = 5050} \\ {x + y = 2200} \end{array}} \right.\] the first equation comes from the total money collected, the second one comes from the total number of person who wants to assist to the performance
anonymous
  • anonymous
so is that for part a ?
Michele_Laino
  • Michele_Laino
yes!
Michele_Laino
  • Michele_Laino
from the second equation I get: x= 2200-y, now I substitute into the first one so I get: 1.5(2200-y)+4*y=5050 please solve for y
anonymous
  • anonymous
4(2200-x)+1.5*x=5050 ? is that correct ?
Michele_Laino
  • Michele_Laino
yes!
Michele_Laino
  • Michele_Laino
what is x?
anonymous
  • anonymous
the amount of children
anonymous
  • anonymous
now can u help with part C pls and TY
Michele_Laino
  • Michele_Laino
we have to simplify that equation, so we get: 8800-4x+1.5x=5050 please continue
anonymous
  • anonymous
how did u get 8800 ?
anonymous
  • anonymous
i dont get it
Michele_Laino
  • Michele_Laino
4*2200= 8800
anonymous
  • anonymous
oh ok i get it TY
anonymous
  • anonymous
so 3300-1.5x+4y=5500 am i right ?
Michele_Laino
  • Michele_Laino
after that simplification, you should get this equation: 2.5 x= 3750
Michele_Laino
  • Michele_Laino
more steps: 8800-2.5x=5050
Michele_Laino
  • Michele_Laino
2.5 x= 8800-5050
Michele_Laino
  • Michele_Laino
so: x=3750/2.5=...?
Michele_Laino
  • Michele_Laino
what is: \[\Large x = \frac{{3750}}{{2.5}} = ...?\]
anonymous
  • anonymous
1500
Michele_Laino
  • Michele_Laino
ok!
Michele_Laino
  • Michele_Laino
now, we have: y=2200-x=2200-1500=...?
anonymous
  • anonymous
700
Michele_Laino
  • Michele_Laino
that's right!
anonymous
  • anonymous
ty soooooo much can you organize according to the answers to the Parts pls ill right a review and fan and medal you ty again
Michele_Laino
  • Michele_Laino
part A: the requested system is: \[\left\{ {\begin{array}{*{20}{c}} {1.5x + 4y = 5050} \\ {x + y = 2200} \end{array}} \right.\]
Michele_Laino
  • Michele_Laino
part B: the requested equation is: \[2.5x = 3750\]
Michele_Laino
  • Michele_Laino
part C: the requested solution is: \[\left\{ {\begin{array}{*{20}{c}} {x = 1500} \\ {y = 700} \end{array}} \right.\]
anonymous
  • anonymous
yaaaaaaay TY sooooo sooooooo sooooooo much im happy i found you
Michele_Laino
  • Michele_Laino
thanks!!!!! :)
anonymous
  • anonymous
np

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