SOLUTION: The museum charges $14 for adult admission and $11 for each child. The museum bill for a school field trip was $896. a. Write a linear equation in general form to represent this

Algebra ->  Equations -> SOLUTION: The museum charges $14 for adult admission and $11 for each child. The museum bill for a school field trip was $896. a. Write a linear equation in general form to represent this       Log On


   

Question 943164: The museum charges $14 for adult admission and $11 for each child. The museum bill for a
school field trip was $896.
a. Write a linear equation in general form to represent this situation. Clearly indicate what
each variable represents.
b. Nine adults attended the field trip. How many children were there?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=number Adults, C=number children B=admission bill
$14A+$11C=B ANSWER A:General equation
Solve for C: subtract $14A from each side
%2414A%2B%2411C-%2414A=B-%2414A
%2411C=B-%2414A divide each side by $11
%2411C%2F%28%2411%29=%28B-%2414A%29%2F%28%2411%29
C=%28B-%2414A%29%2F%2411
Substitute given values: with 9 adults (A) and Bill(B)=$896
C=%28%24896-%2414%289%29%29%2F%2411
C=%28%24896-%24126%29%2F%2411
C=%24770%2F%2411
C=70 ANSWER 70 children went on the field trip