MATH 107 University of Maryland Baltimore County Week 6 Rabbit Proofing Flower Beds Problem

Week 6 Extra Credit (#01-#10)
A gardener wants to rabbit-proof her flower beds using fencing. She purchases 100 ft of fencing.
01) What rectangular area can she fence off if she wants the length of the bed to be 3 times the
width?
02) If she wants to maximize the rectangular area that is fenced off, what dimensions should she
use for the bed? What area will she be able to protect?
03) She already has a fence running across the back of her yard. If she uses her back fence for one
of the sides of the rectangle, what dimensions should she use to maximize the area she can
protect?
A vendor creates a mixture of pecans ($5.40/lb) and cashews ($12.60/lb).
04) If he wants to create a mixture valued at $10.00/lb, how many pounds of pecans should he mix
with 12 pounds of cashews? Round to the nearest tenth of a pound.
05) If he wants a mixture that has 3 times the weight of pecans as compared to the cashews, what
should the price of this mixture be?
Experts recommend that hand sanitizers contain at least 60% alcohol to be effective at killing germs.
06) How much water should be added to 8 oz of 70% alcohol to create a 60% solution?
07) How much water should be mixed with 95% alcohol to create 28.5 oz of a 60% solution?
Solve the following.
08) A vendor at a local farmer’s market sells cookies for $1.25 each or cakes for $9.50. She sells 35
more cookies than cakes and earns a total of $172.75. How many cakes did she sell?
09) At 2:30 pm, a man decides to take a walk. At 3:30 pm, his son decides to follow him by riding his
bike. If both leave from the same house with the man walking at 4.2 mph and his son biking at
14.7 mph, when will the son catch up to his father? Report to the nearest minute.
10) A man leaves work at 5:00 pm and walks home at a rate of 3.6 mph. His daughter leaves their
home 4.5 miles away at the same time and jogs out to meet him. If she jogs at a rate of 5.4 mph,
at what time will they meet?