Question

the admission fee at a small fair is $1.50 for children and $4.00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. write and solve a system of equations to model this scenario. describe what the solution means in the context of this problem. define the variables used.

Answer 1

Number of adults = 700

Number of children = 1,500

Step-by-step explanation:

Given:

Fair for child = $1.5

Fair for adult = $4

Total number of people = 2,200

Total fair = $5,050

Computation:

Assume;

Number of children = a

Number of adults = b

So,

a + b = 2,200

a = 2,200 - b

and,

5,050 = 1.5a + 4b

5,050 = 1.5[2,200 - b] + 4b

5,050 = 3,300 - 1.5b + 4b

1,750 = 2.5b

Number of adults = 700

Number of children = a = 2,200 - 700

Number of children = 1,500