Will fan & Medal!
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

Will fan & Medal! 
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

x+y=2200  ...(1)
1.5x+4y=5050
$$\frac{ 15 }{ 10 }x+4y=5050$$
$$\frac{ 3 }{ 2 }x+4y=5050$$
multiply by 2
3 x+8 y=10100...(2)
solve (1) and (2)

anonymous · Answer

that seems like a lot of gibberish....:/

anonymous · Answer

from (1)
x=2200-y
put in (2)

anonymous · Answer

putting in 2...(2)

anonymous · Answer

3(2200-y)+8y=10100
6600-3y+8y=10100
5y=10100-6600=3500
y=3500/5=700
x=2200-700=1500