At the movie theater children admission is $5.20 and adult admission is $9.30 if 126 tickets were sold for a total sale of $872.50 how many children tickets were sold that day?

total ? of tickets = y of kids + x of adults or 170 = k +a

The money altogether = how much a kid's ticket costs y of kid's tickets + how much an adults ticket costs x of adults tickets

Or: $1172.00 = $5.20 + $8.40a

REWRITE:

170= k + a

a =170 - k

Add the first equation in the second equation.

1172  =  5.2k + 8.4 (170 - k)

1172 = 5.2k + 1428 - 8.4k

-256 = -3.2k

k= 80 tickets

Hope this helps!-Aparri

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