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 $5,050 is collected. How many children and how many adults attended? Solution: We are interested in the number of children and number of adults that attended the fair. Let's label our variables. c= number of children that attended the fair a= number of adults that attended the fair Since we have two variables, we will have two equations. Let's start with the first equation. If c is the number of children and a is the number of adults that attended the fair, what is the total number of people who attended the fair, in terms of c and a? Submit your answer below as an expression in terms of c and a below.

Answer 1

The total number of people's who attended the fair, in terms of c and a is

c + a = 2200

where, c = children and a = adults

Total number of adults who attended the fair are 700 and total number of children who attended the fair are 1500.

We have given that ,

Admission fee for children= $1.50

Admission fee for adults = $4.00

total people enter into fair = 2200

total collection from 2200 people's = $5,050

let consider ,

c --> the number of children that attended the fair

a --> the number of adults that attended the fair,

First, write the two equations letting c = children and a = adults :

c + a = 2200 ---(1)

1.50 (c) + 4.00(a) =5050 ---(2)

Now, we use substitution, c = 2200 − a

plug this value in equation ( 2)

1.50 (2200 - a) + 4.00(a) = 5050

Simplify it

=> 3300 - 1.5a + 4a = 5050

=> 2.5 a = 1750

=> a = 700

Using the first equation ...

c = 2200 - a

=> c = 2200 - 700

=> c = 1500

therefore, there were 700 adults and 1500 children .

To learn more about Substitution method, refer :

https://brainly.com/question/22340165

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