Question

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 are collected at the ticket counter.

How many children and how many adults attended?


Group of answer choices

700 children and 1,500 adults

1,500 children and 700 adults

1,650 children and 550 adults

550 children and 1,650 adults

Answer 1

Consider mathematical equations;
Let no of children be x, no of adults be y;
=>x+y=2200;........(1)
=>4x+4y=8800;.....(2)
=>1.50x+4.00y=5050......(3)
Subtract 2 and 3;
=>(4-1.5)x=3250,
=>x=3250/2.5=1300,
Substitute x=1300 in equation 1;
=>y=2200-1300=900.

Answer 2

option 2

1500 children and  700 adults

Step-by-step explanation:

let number of children be x

and number of adult be y

then according to question

x+y = 2200..(1)

and according to cost

1.50x+4y= 5050.(2)

solving 1 an d 2 we get

y = 2200-x..(3)

putting the value of y in equation 2

we get

1.50 x+4(2200-x) = 5050

1.50x+8800-4x=5050

2.5x = 3750

x = 1500

then  putting the value of x in equation 3

we get y = 2200-1500 = 700

hence , option 2

1500 children and  700 adults

#Learn more:

Certain number of childrens and adults are going in exhibition if the entry fee of children is rupees 1.50 and the entry fees of adult is it is 4.50 and the total amount of money collected is rs. 600.then find the no.of children and adults​

https://brainly.in/question/14290694