Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $6 for children. One hundred twenty-seven adults and children attended, and $1,053 was made in ticket sales. How many children and how many adults went to the film premiere?

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02-05-2017
Mathematics

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Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $6 for children. One hundred twenty-seven adults and children attended, and $1,053 was made in ticket sales. How many children and how many adults went to the film premiere?

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lilstacie615 lilstacie615 · Answer 1 · 2017-05-02T15:13:23+02:00

lilstacie615 lilstacie615

02-05-2017

x=adults and c=children
x+c=127
9x+6c=1,053
Multiply the first equation by negative 6.
-6x+(-6)c= -762
Add the equations together.
3x=291
x=97
97+c=127
c=30
There were 30 children and 97 adults.

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