A group of seven people spent $33.50 on a movie ticket. They paid six dollars and 50 Cent for each adult ticket and $3.50 for each child ticket. What is the sum of equations can be used to find X the number of adult tickets purchased and why the number of children's tickets purchased

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.5X+3.50y=33.50 Would be the equation hope this helps
x= 3
y = 4
$6.50×3=$19.50
$3.50×4=$14.00
$19.50+$14.00=$33.50