1. Define your variables and set up a system of two equations and two unknowns for the following problem, then solve the system and answer the question. Show all your work!
Excedrin surveyed wrokers in various professions who get headaches at least once a year on the job. Nine more accountants than waiters/waitresses in the survey got a headach. If the combined number of accountant and waiters/waitresses that got a headache was 163, how many people in each of those professions got a headache? What method did you use to solve this problem?
2. Define your variables and set up a system of three equations and three unknowns for the following problem, then solve the system and answer the question. Show all your work!
Tickets for the senior play at Apopka High School cost $3 for children, $5 for students, and $8 for adults. There were 800 ticktes sold for a total of $4750. The number of adult tickets sold was 50 more than two times the number of children tickets. Find the number of each type of ticket.