Question

The admission fee at a carnival is 3.00 for children and $5.00 for adults. On the first day 1500 people enter the fair

Answer 1

Question:

The admission fee at a carnival is $3.00 for children and $5.00 for adults. On the first day 1,500 people enter the fair and $5740 is collected. How many children and how many adults attended the carnival?

Answer:

Number of  children and  adults attended the carnival are 880 and 620 respectively

Step-by-step explanation:

Given:

The admission fee at a carnival for children = $3.00

The admission fee at a carnival for adults =  $5.00

Number of people entered the fare on first day= 1500

Total amount collected on the first day =  $5740

To Find:

Number of  children and  adults attended the carnival =?

Solution:

Let

The number of children be x

The number of adults be y

The we know that on the first day the total number children visited the fare was 1500

x  +  y = 1500

x  = 1500 - y------------------------------(1)

Also the total fare collected was $5740

x(3) + y(5) = 5740

3x + 5y = 5740-------------------(2)

Substituting (1) in (2),

3 (1500 - y) + 5y = 5740

4500 -3y + 5y = 5740

-3y + 5y = 5740 - 4500

2y = 1240

$y = \frac{1240}{2}$

y = 620  adults

From 1 ,

x  = 1500 - 620

x =880