Question

Yesterday I went to an exhibition and I saw a board showing the information of the admission fee at the exhibition gate is $1.50 for children and $4.00 for adults. One day, I checked that 2200 people entered the exhibition and on my verification found $5050 is collected. Based on the above layout and situation, answer the following questions: Q.-5) Form the pair of linear equations in two variables from this situation , if the number of children visited = x and the number of adults visited = y​

Answer 1

Answer:

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Question}}}}}}}}}}}}}$

Yesterday I went to an exhibition and I saw a board showing the information of the admission fee at the exhibition gate is $1.50 for children and $4.00 for adults. One day, I checked that 2200 people entered the exhibition and on my verification found $5050 is collected. Based on the above layout and situation, answer the following questions: Q.-5) Form the pair of linear equations in two variables from this situation , if the number of children visited = x and the number of adults visited = y

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

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

c+a=2200

1.50(c)+4.00(a)=5050

Explanation:

Now, use substitution ...

c=2200−a

1.50(2200−a)+4.00(a)=5050

Simplify ...

2.5a=1750

a=700

Using the first equation ...

c=2200−a=2200−700=1500

In summary, there were 700 adults and 1500 children

$\huge\sf\fbox\red{Ans By Mona}$

Answer 2

Answer: From the information given, we can write the two equations that represent the total number of people and the total amount collected:

x + y = 2200 (the total number of children and adults who visited the exhibition)

1.5x + 4y = 5050 (the total amount collected, where x represents the number of children and y represents the number of adults)

Step-by-step explanation to form a pair of linear equations from the situation:

Determine the variables: Let x be the number of children who visited the exhibition and y be the number of adults who visited.

Write the first equation: We know that the total number of people who visited the exhibition is 2200, so x + y = 2200.

Write the second equation: We know that the admission fee for children is $1.50 and for adults, it is $4.00. Also, the total amount collected was $5050. So, we can write 1.5x + 4y = 5050, where 1.5x represents the amount collected from the children and 4y represents the amount collected from the adults.

Combine the equations to form a pair of linear equations:

                                    x + y = 2200

and

                                   1.5x + 4y = 5050

are the two equations that represent the given situation.

These two equations can be used to solve for the number of children and adults who visited the exhibition.

learn more about linear equations here

https://brainly.in/question/671043

learn more about variables here

https://brainly.in/question/3016346

#SPJ3