Question

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On Saturday, 1000 people entered the fair and $2550 was collected in admission fees

Answer 1

Answer:

Number of children tickets sol= 580

Number of adults tickets sol= 420

Step-by-step explanation:

First, we establish a system of equations:

1.5*x + 4*y= $2,550

x + y = 1,000

x= number of tickets for children sold

y= number of tickets for adults sold

Now, we determine the value of x in one equation and substitute in the other:

x= 1,000 - y

1.5*(1,000 - y) + 4y = 2,550

1,500 - 1.5y + 4y = 2,550

2.5y = 1,050

y= 420

x= 1,000 - 420

x= 580

Number of children tickets sol= 580

Number of adults tickets sol= 420

Prove:

1.5*580 + 4*420= $2,550

580 + 420 = 1,000