Question

A movie theater sold 1200 tickets and made $6400 in one night. If an adult ticket costs $7 and a children's ticket costs $3, how many adult tickets were sold?

A. a + c = 1200
7a + 3c = 6400
B. a c = 1200
7a 3c = 6400
C. a + c = 6400
7a + 3c = 1200
D. a + c = 10
7a + 3c = 7600

Answer 1

So the total number of movie tickets sold was 1200. This means that a + c = 1200 because a represents the number of adult tickets purchased and c represents the number of child tickets purchased. The total money they made off the movie was $6400. This means 7 multiplied by the number of adult tickets would result in the total they earned off adult tickets, and 3 multiplied by the number of child tickets would result in the total they earned off child tickets. This total equals 6400. So 7a + 3c = 6400. These are our two equations: a + c = 1200 and 7a + 3c = 6400. The answer choice that matches this is choice A, so your answer is A. Hope this helps. Feel free to ask more questions, or ask more questions about my explanation.

Answer 2

the answer is A.

the total number of people including adults and children are 1200. given $7 for adults ($7×a = 7a) and $3 for children ($3×c = 3a) that would make it $6400 for the night