The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      1)

Now, fair collected is given by :

1.5c + 4a = 5050     2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.

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step-by-step explanation: