Page 42 - Mathematics of Business and Finance
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22     Chapter 1 | Review of Basic Arithmetic

           LEAST OR LOWEST COMMON MULTIPLE (LCM)
           Determine the Least Common Multiple (LCM) of the following:
           11.   a.    7 and 21     b.    6 and 9            12.   a.    5 and 15     b.    6 and 8

           13.   a.    2, 15, and 30  b.    3, 7, and 14     14.   a.    4, 6, and 18  b.    4, 10, and 12
           15.   a.    24, 36, and 12  b.    6, 15, and 18   16.   a.    12, 40, and 48  b.    14, 28, and 42

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           17.    Lucia has skating lessons every 8  day and ballet lessons every 10  day. If she had her first skating and ballet lesson on
               March 03, when is the next date that both lessons will occur?
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           18.    Tahrell has music lessons every 6  day and swimming lessons every 8  day. If he had his first music and swimming
               lesson on February 04, when is the next date that both lessons will occur?
           19.    Three bells ring simultaneously. If they ring at intervals of 24, 36, and 40 seconds, respectively, how long will it take (in
               minutes) until they ring together again?
           20.    Three lights, red, blue, and green, flash at intervals of 15, 18, and 40 seconds, respectively. If they begin flashing at the
               same time, how long will it take (in minutes) until all three flash at the same time again?
           LEAST OR LOWEST COMMON DENOMNATOR (LCD)
           Determine the Least Common Denominator (LCD) of the following:
                  1     32              7     5                     2     3               8     4
           21.   a.      and        b.     and               22.   a.     and         b.     and
                  3     21              8    12                     7     14              3    11
                  1 11      3           2  4       3                3   6     8           1 13     6
           23.   a.     ,    , and   b.      ,    , and      24.   a.     ,    , and   b.     ,    , and
                  6  4      5           5 13      11                4 15      5           2  3     7
                  2     3               7      3                    3      5              5      3
           25.   a.     and         b.      and              26.   a.      and        b.      and
                  7    21               15    25                    8     14              10    20
           GREATEST COMMON FACTOR (GCF)
           Determine the (i) factors, (ii) common factors, and (iii) greatest common factors (GCF) of the following:

           27.   a.    13 and 91    b.    93 and 124         28.   a.    36 and 84    b.    48 and 160
           29.   a.    18 and 32    b.    16 and 30          30.   a.    35 and 75    b.    24 and 64

           31.   a.    40, 50, and 80  b.    12, 36, and 48  32.   a.    50, 75, and 125  b.    30, 75, and 90
           33.   a.    33, 143, and 176  b.    85, 102, and 204  34.   a.    76, 114, and 152  b.    96, 144, and 216

           35.    Two ribbons of lengths 112 cm and 154 cm are to be cut into pieces of equal length, without wastage. Determine the
               greatest possible length of each piece.
           36.    Two wires of lengths 96 cm and 160 cm are to be cut into pieces of equal length, without wastage. Determine the
               greatest possible length of each piece.
           37.    A store has 54 green marbles, 72 yellow marbles, and 90 red marbles. The owner decides to package all the marbles into
               bags, such that each bag contains the same number of marbles. Additionally, each bag can only contain marbles of the
               same colour. Find the maximum possible number of marbles in each bag.

           38.    Three wires measuring 18 m, 45 m, and 36 m are to be cut into pieces of equal length, without wastage. What is the
               maximum possible length of each piece?
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