Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $4 for children. One hundred fifteen adults and children attended, and $940 was made in ticket sales. How many children and how many adults went to the film premiere?

a)16 children; 99 adults
b)23 children; 92 adults
c)13 children; 102 adults
d)19 children; 96 adults

Question

Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $4 for children. One hundred fifteen adults and children attended, and $940 was made in ticket sales. How many children and how many adults went to the film premiere?

a)16 children; 99 adults
b)23 children; 92 adults
c)13 children; 102 adults
d)19 children; 96 adults

mathmate · Answer

@madmoiselle_sarcasm

Would you like to do this in your head or like to solve system of two equations?

anonymous · Answer

Solve the system

mathmate · Answer

Then we'll figure it out the long way:
Can you first set-up/define the variables?  You can use x and y, or c and a.  I like the latter.

anonymous · Answer

c+a=115
$9a+$4c=$940

mathmate · Answer

So now's the time to solve the system.  How far have you gone?

anonymous · Answer

9a+4(115-a)=940

mathmate · Answer

Great! You're using the substitution method.  Excellent.
Please continue.

anonymous · Answer

9a+460-4a=940

anonymous · Answer

9a-4a=480
5a=480
a=96

anonymous · Answer

That's right

mathmate · Answer

Formidable, madmoiselle!
Could you continue to get c?

anonymous · Answer

9*96+4c=940
864+4c=940
4c=76
c=19

mathmate · Answer

Perfect, you got the correct answer! Well done!

anonymous · Answer

Thank you!

mathmate · Answer

You're welcome! À la prochaine!