adult tickets for a play cost $10, and children's ticket cost $4. for one performance, 460 tickets were sold. receipts for the performance were #3760. find the number of adult tickets sold

Answer 1

10A + 4C = 3760

A+C = 460 multiply by 4

4A + 4C = 1840

10A+4C = 3760 subtract

4A +4C = 1840

6A = 1920

A = 320 adult tickets sold

C=460-320 = 140 child tickets

10(320) + 4(140) = 3200 + 560 = 3760