1.A movie theater charges $ 9 for adults and $ 6 for seniors. On a particular day when 337 people paid an admission, the total receipts were $ 2541. Round your answers to the nearest integers.

How many who paid were adults?

How many who paid were seniors?

2.Find two numbersaandb whose suma+b is 7 and whose differenceabis -1.

Your answer is

a=

b=

3.A department store 59shirts one day. All short-sleeved shirts cost$10.00 each and all long-sleeved shirts cost$16.00 each. Total receipts for the day were$740.00. How many of each kind of shirt were sold?

Short-Sleeve:

Long-Sleeve:

4.Given the system of inequalities below, determine the shape of the feasible region and find the vertices of the feasible region. Give the shape as "triangle", "quadrilateral", or "unbounded". Report your vertices starting with the one which has the smallest x-value. If more than one vertex has the same, smallest x-value, start with the one that has the smallest y-value. Proceed clockwise from the first vertex. Leave any unnecessary answer spaces blank.

x+y4

9x+y6

x0

y0

The shape of the feasible region is (a):

The first vertex is( , )

The second vertex is( , )

The third vertex is( , )

The fourth vertex is ( , )