117k views
2 votes
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.

User Yuriks
by
8.0k points

2 Answers

4 votes

Answer:

147 adults and 11 children

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

User Bill Lynch
by
8.3k points
2 votes
11 Children and 147 Adults
User Benny Khoo
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories