can you answer this question again please

Question

Tickets to the art exhibition cost $8 for adults and $3 for children. Altogether 180 people

attended the exhibition and ticket sales totalled $1090. Using x for the number of adults and

y for the number of children:

a explain why the equations x + y = 180 and 8x + 3y = 1090 correctly match the information

given in the question

 solve the equations simultaneously to find the number of adults that attended the

exhibition.

Answer 1

Let x be the # of adults

Let y be the # of children

We know x + y = 180 since there were a total of 180 people so just add # adults + # children

and we know 8x + 3y = 1090  because the total ticket sales in $ is $8(#adults) + $3(#children)

 

x + y = 180

8x + 3y = 1090

 

In the top equation we can solve for y in terms of x by subtracting x from both sides...

y = 180-x

 

Replace y in the 2nd equation with 180-x giving

8x+3(180-x) = 1090

8x + 540 - 3x = 1090

5x = 1090 - 540

5x = 550

x = 550/5

x = 110

110 adults attended (and 70 children)