Basic Mathematics for College Students

95. HOSE REPAIRS To repair a bad connector, a
    gardener removes feet from the end of a 50-foot
    hose. How long is the hose after the repair?


96. HAIRCUTS A mother makes her child get a haircut
    when his hair measures 3 inches in length. His barber
    uses clippers with attachment #2 that leaves -inch of
    hair. How many inches does the child’s hair grow
    between haircuts?


97. SERVICE STATIONS Use the service station sign
    below to answer the following questions.
    a. What is the difference in price between the least
    and most expensive types of gasoline at the self-
    service pump?
    b. For each type of gasoline, how much more is the
    cost per gallon for full service compared to self
    service?


98. WATER SLIDES An amusement park added
    a new section to a water slide to create a slide
    feet long. How long was the slide before the
    addition?

(^3) –
New section: 119 ft long 4
Original slide

311125

––^9

10

Self

Serve

Full

Serve

269

––^9

28910

––^9

UNLEADED 25910

––^9

27910

––^9

10

PREMIUM

PLUS

cents per gallon

279

––^9

29910

PREMIUM

UNLEADED

3

8

(^112)

99. JEWELRY A jeweler cut a 7-inch-long silver wire
    into three pieces. To do this, he aligned a 6-inch-long
    ruler directly below the wire and made the proper
    cuts. Find the length of piece 2 of the wire.


100. SEWING To make some draperies, an interior
     decorator needs yards of material for the den
     and yards for the living room. If the material
     comes only in 21-yard bolts, how much will be left
     over after completing both sets of draperies?


101. Of the methods studied to add mixed numbers,
     which do you like better, and why?


102. LEAP YEAR It actually takes Earth days,
     give or take a few minutes, to make one revolution
     around the sun. Explain why every four years we
     add a day to the calendar to account for this fact.


103. Explain the process of simplifying.


104. Consider the following problem:

a. Explain why borrowing is necessary.

b. Explain how the borrowing is done.

Perform each operation and simplify, if possible.

105. a. b.

c. d.

106. a. b.

c. d. 5

1

10



4

5

5

1

10



4

5

5

1

10



4

5

5

1

10



4

5

3

1

2

 1

1

4

3

1

2

 1

1

4

3

1

2

 1

1

4

3

1

2

 1

1

4

REVIEW

(^108 13)
 (^99 23)

12 75

(^365 14)

WRITING

(^8 12)
(^12 14)
12345
Piece 1 Piece 2
inch
Piece 3
Cut Cut
3.6 Adding and Subtracting Mixed Numbers 283