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

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 13/101

x = arctan(13/101)

x = 7.334379 approximately

x = 7.33