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 your work.

Let x = number of children

Let y = number of adults

A. Write 2 equations to model this system: 10 points

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 points

Question

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 your work.

Let x = number of children

Let y = number of adults

A. Write 2 equations to model this system: 10 points

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 points

anonymous · Answer

WILL FAN & MEDAL

anonymous · Answer

A. x(1.5)+y(4)=5050
1.5/4= z/100   :   4z=150   150/4=37.5=z
.375(5050)/1.5=x=1262.5

1262.5(1.5)+y(4)=5050
1893.75+4(y)=5050
4(y)=5050-1893.75
4(y)=3156.25
y=3156.25/4
y=789.0625



x=1262.5
y=789.0625

anonymous · Answer

(1262.5*1.5)+(789.0625*4)=5050

anonymous · Answer

I ruined it, don't listen to my answer, I didn't account for 2200 people, I just picked any value that worked

anonymous · Answer

x+y=2200
x(1.5)+y(4)=5050
2x(1.5)+2y(4)=7250

3.5x+6y=7250
3.5/6=z/100 
350=6z
z= percentage of kids
I hope this helps, I have to go to work, and I can't do anymore right now

anonymous · Answer

z*7250=x
(100-z)*7250=y