Section 2.5: Application Problems and Matrices
Ex. 1
(#7) There are two types of tickets for a school play,
student tickets and adult tickets. The student tickets cost
$2 and the adult tickets cost $5. There were $223 worth of
tickets sold. There were 18 more adult tickets sold than
student tickets. How many tickets of each type of ticket
were sold?
Ex. 2
(#11) A company produces individual resistors and
transistors as well as computer chips. Each set of resistors
requires 2 units of copper, 2 units of zinc, and 1 unit of glass
to manufacture. Each set of transistors requires 3 units of
copper, 3 units of zinc and 2 units of glass. Each set of
computer ships requires 2 units of copper, 1 units of zinc
and 3 units of glass. If there are 160 units of copper, 120
units of zinc and 170 units of glass available, how many sets
of resistors, transistors and computer chips should the
company manufacture to use all of its available supplies or
raw materials?
Ex. 3
(#22) A company need to needs to borrow $150,000. For
tax and related reasons, the company wants to pay 7.3%
interest on this loan. There are three lenders for this
money. The first charges 6%, the second charges 7%, and
the third charges 10%. The company is going to borrow
twice as much from the first lender as from the third. How
much should the company borrow from each lender?
Ex. 4
(#12) If solution A contains 10% of a chemical and solution
B contains 50% of the same chemical, how much of each of
these two solutions must be mixed together to make a
mixture that is 10 gallons and contains 26% of this
chemical?