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Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $6 for children. One hundred fifty-eight adults and children attended, and $1,389 was made in ticket sales. How many children and how many adults went to the film premiere? A:15CHILDREN and 143 Adults B:5 children and 153 Adults C: 8 children and 150 Adults or D:11 children and 147 Adults.

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egg74
11 Children and 147 Adults

Answer:

147 adults and 11 children

Step-by-step explanation:

let x = the amount of adults

let y = the number of children

thus x + y = 158 total people who attend the movie

each adult cost $9 and each child costs $6  for a total cost of $1389 so

9x + 6y =1389

first lets solve for y so that we can use the substitution method..

x+y=158

to solve for y you must subtract x from both sides

x+y-x=158-x

y=158-x

now Let's use the substitution method

9x + 6(158-x)= 1389

9x  + 6(158) + 6(-x) = 1389

9x+ 948 - 6x = 1389

3x+ 948= 1389

3x +948 - 948 = 1389 - 948

3x = 441

x = 147

back to the original equation of x + y = 158

147 + y = 158

147-147+y=158-147

y = 11

and finally

9(147) + 6(11) = 1389

1323 +66 = 1389

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