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A movie theater made $500 selling 180 tickets. They sell child tickets for $3, adult tickets for $5, and senior tickets for $2. The number of adult tickets sold was 10 times the number of child tickets. Using c for a child ticket, a for an adult ticket, and s for a senior ticket, what system of equations represents this scenario?

Group of answer choices

a + c + s = 500
3c + 5a + 2s = 180
10a = c

a + c + s = 180
3c + 5a + 2s = 500
10a = c

a + c + s = 500
5c + 2a + 3s = 180
a = 10c

a + c + s = 180
3c + 5a + 2s = 500
a = 10c