The admission fee at the fair is $1.50 for children and $4.00 for adults. On Saturday, 2200 people entered the fair and $5,050.00 was collected at the gate. How many adults attended the fair?

700

Step-by-step explanation:

Let a = number of adults.

Let c = number of children.

a + c = 2200

4a + 1.5c = 5050

Solve the first equation for c:

c = 2200 - a

Substitute 2200 - a for c in the second equation.

4a + 1.5(2200 - a) = 5050

4a + 3300 - 1.5a = 5050

2.5a = 1750

a = 700

700 adults

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

you cant answer this dummy

step-by-step explanation: