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. How many children and how many adults attended?

Answer 1

$1.50C + $4A= $5050
 C + A = 2200

-4(C + A = 2200)
-4C - 4A = -8800
1.50C+4A = 5050
-----------------------
-2.5C =- 3750
-2.5C/-2.5 =- 3750/-2.5
C = 1500

C + A = 2200
1500 + A =2200
1500 - 1500 + A = 2200 - 1500
A = 700

CHECK
$1.50C + $4A= $5050
$1.50(1500) + $4(700)= $5050
$2250 +$2800 =$5050
$5050 = $5050

 C + A = 2200
1500 + 700 =2200
2200 = 2200

Answer 2

Answer:

 

1500 children and 700 adults