anonymous one year ago 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 • This Question is Closed 1. anonymous help 2. anonymous Ok 3. anonymous What are you working on I gotta know what type of problem to make 4. 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

5. anonymous

@Michele_Laino

6. 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

7. anonymous

so is that for part a ?

8. Michele_Laino

yes!

9. 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

10. anonymous

4(2200-x)+1.5*x=5050 ? is that correct ?

11. Michele_Laino

yes!

12. Michele_Laino

what is x?

13. anonymous

the amount of children

14. anonymous

now can u help with part C pls and TY

15. Michele_Laino

we have to simplify that equation, so we get: 8800-4x+1.5x=5050 please continue

16. anonymous

how did u get 8800 ?

17. anonymous

i dont get it

18. Michele_Laino

4*2200= 8800

19. anonymous

oh ok i get it TY

20. anonymous

so 3300-1.5x+4y=5500 am i right ?

21. Michele_Laino

after that simplification, you should get this equation: 2.5 x= 3750

22. Michele_Laino

more steps: 8800-2.5x=5050

23. Michele_Laino

2.5 x= 8800-5050

24. Michele_Laino

so: x=3750/2.5=...?

25. Michele_Laino

what is: $\Large x = \frac{{3750}}{{2.5}} = ...?$

26. anonymous

1500

27. Michele_Laino

ok!

28. Michele_Laino

now, we have: y=2200-x=2200-1500=...?

29. anonymous

700

30. Michele_Laino

that's right!

31. 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

32. Michele_Laino

part A: the requested system is: $\left\{ {\begin{array}{*{20}{c}} {1.5x + 4y = 5050} \\ {x + y = 2200} \end{array}} \right.$

33. Michele_Laino

part B: the requested equation is: $2.5x = 3750$

34. Michele_Laino

part C: the requested solution is: $\left\{ {\begin{array}{*{20}{c}} {x = 1500} \\ {y = 700} \end{array}} \right.$

35. anonymous

yaaaaaaay TY sooooo sooooooo sooooooo much im happy i found you

36. Michele_Laino

thanks!!!!! :)

37. anonymous

np