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Friday, September 23, 2011

MATH E 111 / MATH 101 ASSIGNMENT

 
 Assignment to be submitted on October  3,  2011  10:00 AM

 
1.       Of the 800 tickets sold to a movie, 480 were adult tickets. The total gate receipts is  Php  2080. How much is the cost of students ticket  if an adult ticket cost  Php 3 ?

2.       An empty swimming pool can be filled in 10 hours by an inlet faucet and when full it can be drained empty by an outlet faucet in 19 hours.  How long will it be filled if the outlet faucet  is accidentally left open when filling starts ?

3.       A nurse has  1  liter of solution that is 20 % alcohol. How much pure alcohol must she add to bring it to a solution that contains 30%  alcohol ?

4.       John scored 5 points higher on his midterm, and 13 points higher on his final, than on his trinal exam. What did he score  on the trinal exam if his average score was 90 ?

5.       The sum of three consecutive positive odd  integers  is  69. Find the integers.

6.       A child has equal number of nickels, dimes and quarters. If the coins are worth  $ 3.20, how many of each types of coin are there?

7.       A motorboat  travels  5 km upstream in the same time that it requires to go 7 km downstream.  If the river’s current flows at the rate of  2 km/hr , what is the speed of the motorboat  in still water ?

8.       One morning John drive to his uncle’s house in a distant city in 5 hours. When he returned home, there was less traffic and the trip took only 3 hours. If John drive  26 km per hour faster on the return  trip, how fast did  he drive in each way ?

9.       If Roy is 12 years old and his father  40 years old, in how many years will Roy’s age  become one-half his father’s age.

10.   Determine the present age of a man if  ½  of his age 8 years ago is equal to  ¼  of his age 12 years from now.

11.   If a certain number is added to both the numerator and denominator of the fraction 3/5 , the resulting fraction is  5/6.  Determine the number.

12.   A man invest some money at  8 %  interest and twice as much at  9 %  annual  interest.  The total income from his two investments  is  Php 2,080.  How much did he invested at each rate ?

13.   It is now  4:00 o’clock PM.  At what time before 5:00 o’clock will the minute hand and the hour hand  become  (a) perpendicular for the first time,  (b) perpendicular for the second time.  (c)  What time will the minute hand overtake  the hour hand ?
14.   If   Php  500.00  is invested  at 16 %   simple  interest,  how  many  years  will  it  take to have a final
        amount of P 900.00 ?

15.   An ant travels  140 cm to the north, then turns  60 cm  to the east and then  60 cm  to the south. How far is the  ant from the starting point ?

                             E N D       E N D         E N D

                              



 

I. Solve for the value of x

1.    3( x + 5 )  =  3( 1 + x )

2.    3( x + 2 )  =  5x + 2

3.         2         =   1
        3 - x

4.     2 + x    +      x + 7     =    4x  +  1
          3                   2

5.    x2 - 8x + 15  =  ( x – 3 )( x + 5 )

6.         3         =    1
         x - 3

7.     x ( x + 2 ) = ( x + 1 )2

8.     3x + 1     =    ½
           20

9.        1          =    3
         x + 1

10.   3 ( x + 2 )  –  x   =  2 ( x + 3 )

II. Use algebraic translation to find the required unknown.

1. Find three consecutive odd numbers whose sum is 105.

2. Find two consecutive positive even numbers whose squares differ by 60.

3. The length of a rectangular garden is 5 m longer than its width. If the perimeter is
    78 , determine the length and the width of the garden.

4.   Two angles are supplementary. Determine their magnitudes if one angle is 48 degrees greater than the
   other.

5.  A   BSCS  student makes a grade of  72 %, 68 % and 78% in his three subjects. What should be his
         grade in the fourth subject so that he will have an average grade of  80% ?

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