Question

Tickets for a play at the community theater cost $8 for children and $20 for adults. A total of 300 tickets have been sold for $3,900. How many children's tickets have been sold?

Answer 1

125 adults

175 children

Explanation:

3900=8c+20a

300=c+a

c=300-a

substitute

3900=8(300-a)+20a

reduce

3900=2400-8a+20a

1500=12a

a=125 adults

substitute for a

c=300-a

c=300-125

c=175 children